Transformations of Quadratics

Question 1

The parent function is y = x^2. How is its graph related to the graph of y = -7x^2?

Accepted Answer

reflected across the x-axis and stretched vertically by a factor of 7

Answer

stretched vertically by a factor of 7, with no reflection

Answer

reflected across the y-axis and stretched vertically by a factor of 7

Answer

reflected across the x-axis and compressed vertically by a factor of 7

Question 2

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

reflected across the x-axis and stretched vertically by a factor of 3

Answer

stretched vertically by a factor of 3, with no reflection

Answer

reflected across the y-axis and stretched vertically by a factor of 3

Answer

reflected across the x-axis and compressed vertically by a factor of 3

Question 3

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

stretched vertically by a factor of 3, so the graph is narrower than y = x^2

Answer

compressed vertically by a factor of 3, so the graph is wider than y = x^2

Answer

shifted 3 units up

Answer

reflected across the x-axis and stretched vertically by a factor of 3

Question 4

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

shifted 7 units down

Answer

shifted 7 units up

Answer

shifted 7 units to the left

Answer

shifted 7 units to the right

Question 5

The parent function is y = x^2. How is its graph related to the graph of y = 0.25x^2?

Accepted Answer

compressed vertically by a factor of 0.25, so the graph is wider than y = x^2

Answer

stretched vertically by a factor of 0.25, so the graph is narrower than y = x^2

Answer

stretched vertically by a factor of 4, so the graph is narrower than y = x^2

Answer

reflected across the x-axis and compressed vertically by a factor of 0.25

Question 6

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

compressed vertically by a factor of 0.5, so the graph is wider than y = x^2

Answer

stretched vertically by a factor of 0.5, so the graph is narrower than y = x^2

Answer

stretched vertically by a factor of 2, so the graph is narrower than y = x^2

Answer

reflected across the x-axis and compressed vertically by a factor of 0.5

Question 7

The graph shows a transformation of the parent function y = x^2. How was the graph of y = x^2 transformed to make it?

Accepted Answer

reflected across the x-axis, stretched vertically by a factor of 3, and shifted 3 units to the right

Answer

reflected across the x-axis, stretched vertically by a factor of 3, and shifted 3 units to the left

Answer

stretched vertically by a factor of 3 and shifted 3 units to the right, with no reflection

Answer

reflected across the x-axis, compressed vertically by a factor of 3, and shifted 3 units to the right

Question 8

The parent function is y = x^2. How is its graph related to the graph of y = 5x^2?

Accepted Answer

stretched vertically by a factor of 5, so the graph is narrower than y = x^2

Answer

compressed vertically by a factor of 5, so the graph is wider than y = x^2

Answer

shifted 5 units up

Answer

reflected across the x-axis and stretched vertically by a factor of 5

Question 9

The green graph is the parent function y = x^2. Which equation describes the purple graph?

Accepted Answer

y = 4(x + 6)^2

Answer

y = 4(x - 6)^2

Answer

y = (x + 6)^2 + 4

Answer

y = -4(x + 6)^2

Question 10

The parent function is y = x^2. How is its graph related to the graph of y = 0.1x^2?

Accepted Answer

compressed vertically by a factor of 0.1, so the graph is wider than y = x^2

Answer

stretched vertically by a factor of 0.1, so the graph is narrower than y = x^2

Answer

stretched vertically by a factor of 10, so the graph is narrower than y = x^2

Answer

reflected across the x-axis and compressed vertically by a factor of 0.1

Question 11

The parent function is y = x^2. How is its graph related to the graph of y = (x - 5)^2?

Accepted Answer

shifted 5 units to the right

Answer

shifted 5 units to the left

Answer

shifted 5 units up

Answer

shifted 5 units down

Question 12

The green graph is the parent function y = x^2. Which equation describes the purple graph?

Accepted Answer

y = (x + 7)^2 + 7

Answer

y = (x - 7)^2 + 7

Answer

y = (x + 7)^2 - 7

Answer

y = (x - 7)^2 - 7

Question 13

The graph of y = x^2 is shifted 7 units to the right and 7 units up. Which equation describes the result?

Accepted Answer

y = (x - 7)^2 + 7

Answer

y = (x + 7)^2 + 7

Answer

y = (x - 7)^2 - 7

Answer

y = (x + 7)^2 - 7

Question 14

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

shifted 3 units to the right

Answer

shifted 3 units to the left

Answer

shifted 3 units up

Answer

shifted 3 units down

Question 15

The parent function is y = x^2. How is its graph related to the graph of y = (x - 2)^2?

Accepted Answer

shifted 2 units to the right

Answer

shifted 2 units to the left

Answer

shifted 2 units up

Answer

shifted 2 units down

Question 16

The parent function is y = x^2. How is its graph related to the graph of y = 7x^2?

Accepted Answer

stretched vertically by a factor of 7, so the graph is narrower than y = x^2

Answer

compressed vertically by a factor of 7, so the graph is wider than y = x^2

Answer

shifted 7 units up

Answer

reflected across the x-axis and stretched vertically by a factor of 7

Question 17

The parent function is y = x^2. How is its graph related to the graph of y = (x - 7)^2?

Accepted Answer

shifted 7 units to the right

Answer

shifted 7 units to the left

Answer

shifted 7 units up

Answer

shifted 7 units down

Question 18

The parent function is y = x^2. How is its graph related to the graph of y = 10x^2?

Accepted Answer

stretched vertically by a factor of 10, so the graph is narrower than y = x^2

Answer

compressed vertically by a factor of 10, so the graph is wider than y = x^2

Answer

shifted 10 units up

Answer

reflected across the x-axis and stretched vertically by a factor of 10

Question 19

The graph shows a transformation of the parent function y = x^2. How was the graph of y = x^2 transformed to make it?

Accepted Answer

shifted 4 units to the left and 4 units down

Answer

shifted 4 units to the right and 4 units down

Answer

shifted 4 units to the left and 4 units up

Answer

shifted 4 units to the right and 4 units up

Question 20

The parent function is y = x^2. How is its graph related to the graph of y = -8x^2?

Accepted Answer

reflected across the x-axis and stretched vertically by a factor of 8

Answer

stretched vertically by a factor of 8, with no reflection

Answer

reflected across the y-axis and stretched vertically by a factor of 8

Answer

reflected across the x-axis and compressed vertically by a factor of 8

Question 21

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

shifted 3 units to the left and 5 units down

Answer

shifted 3 units to the right and 5 units down

Answer

shifted 3 units to the left and 5 units up

Answer

shifted 3 units to the right and 5 units up

Question 22

The parent function is y = x^2. How is its graph related to the graph of y = -3(x - 5)^2?

Accepted Answer

reflected across the x-axis, stretched vertically by a factor of 3, and shifted 5 units to the right

Answer

reflected across the x-axis, stretched vertically by a factor of 3, and shifted 5 units to the left

Answer

stretched vertically by a factor of 3 and shifted 5 units to the right, with no reflection

Answer

reflected across the x-axis, compressed vertically by a factor of 3, and shifted 5 units to the right

Question 23

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

shifted 4 units up

Answer

shifted 4 units down

Answer

shifted 4 units to the left

Answer

shifted 4 units to the right

Question 24

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

shifted 2 units to the left

Answer

shifted 2 units to the right

Answer

shifted 2 units up

Answer

shifted 2 units down

Question 25

The parent function is y = x^2. How is its graph related to the graph of y = x^2 - 5?

Accepted Answer

shifted 5 units down

Answer

shifted 5 units up

Answer

shifted 5 units to the left

Answer

shifted 5 units to the right

Question 26

The parent function is y = x^2. How is its graph related to the graph of y = x^2 + 6?

Accepted Answer

shifted 6 units up

Answer

shifted 6 units down

Answer

shifted 6 units to the left

Answer

shifted 6 units to the right

Question 27

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

reflected across the x-axis, stretched vertically by a factor of 3, and shifted 3 units to the left

Answer

reflected across the x-axis, stretched vertically by a factor of 3, and shifted 3 units to the right

Answer

stretched vertically by a factor of 3 and shifted 3 units to the left, with no reflection

Answer

reflected across the x-axis, compressed vertically by a factor of 3, and shifted 3 units to the left

Question 28

The parent function is y = x^2. How is its graph related to the graph of y = (x + 3)^2 - 3?

Accepted Answer

shifted 3 units to the left and 3 units down

Answer

shifted 3 units to the right and 3 units down

Answer

shifted 3 units to the left and 3 units up

Answer

shifted 3 units to the right and 3 units up

Question 29

The graph shows the parent function y = x^2 after a transformation. Which equation describes the graph?

Accepted Answer

y = (x - 3)^2 - 1

Answer

y = (x + 3)^2 - 1

Answer

y = (x - 3)^2 + 1

Answer

y = (x + 3)^2 + 1

Question 30

The parent function is y = x^2. How is its graph related to the graph of y = (x + 1)^2?

Accepted Answer

shifted 1 unit to the left

Answer

shifted 1 unit to the right

Answer

shifted 1 unit up

Answer

shifted 1 unit down

Question 31

The graph of y = x^2 is shifted 7 units to the right and 6 units up. Which equation describes the result?

Accepted Answer

y = (x - 7)^2 + 6

Answer

y = (x + 7)^2 + 6

Answer

y = (x - 7)^2 - 6

Answer

y = (x + 7)^2 - 6

Question 32

The parent function is y = x^2. How is its graph related to the graph of y = (x + 4)^2?

Accepted Answer

shifted 4 units to the left

Answer

shifted 4 units to the right

Answer

shifted 4 units up

Answer

shifted 4 units down

Question 33

The green graph is the parent function y = x^2. How was it transformed to make the purple graph?

Accepted Answer

shifted 6 units to the left and 2 units down

Answer

shifted 6 units to the right and 2 units down

Answer

shifted 6 units to the left and 2 units up

Answer

shifted 6 units to the right and 2 units up

Question 34

The parent function is y = x^2. How is its graph related to the graph of y = (x - 4)^2?

Accepted Answer

shifted 4 units to the right

Answer

shifted 4 units to the left

Answer

shifted 4 units up

Answer

shifted 4 units down

Question 35

The graph shows a transformation of the parent function y = x^2. How was the graph of y = x^2 transformed to make it?

Accepted Answer

shifted 5 units to the right and 2 units down

Answer

shifted 5 units to the left and 2 units down

Answer

shifted 5 units to the right and 2 units up

Answer

shifted 5 units to the left and 2 units up

Question 36

The parent function is y = x^2. How is its graph related to the graph of y = (x + 6)^2?

Accepted Answer

shifted 6 units to the left

Answer

shifted 6 units to the right

Answer

shifted 6 units up

Answer

shifted 6 units down

Question 37

The parent function is y = x^2. How is its graph related to the graph of y = -5x^2?

Accepted Answer

reflected across the x-axis and stretched vertically by a factor of 5

Answer

stretched vertically by a factor of 5, with no reflection

Answer

reflected across the y-axis and stretched vertically by a factor of 5

Answer

reflected across the x-axis and compressed vertically by a factor of 5

Question 38

The parent function is y = x^2. How is its graph related to the graph of y = (x + 8)^2?

Accepted Answer

shifted 8 units to the left

Answer

shifted 8 units to the right

Answer

shifted 8 units up

Answer

shifted 8 units down

Question 39

The parent function is y = x^2. How is its graph related to the graph of y = 9x^2?

Accepted Answer

stretched vertically by a factor of 9, so the graph is narrower than y = x^2

Answer

compressed vertically by a factor of 9, so the graph is wider than y = x^2

Answer

shifted 9 units up

Answer

reflected across the x-axis and stretched vertically by a factor of 9

Question 40

The green graph is the parent function y = x^2. Which equation describes the purple graph?

Accepted Answer

y = (x - 3)^2 + 5

Answer

y = (x + 3)^2 + 5

Answer

y = (x - 3)^2 - 5

Answer

y = (x + 3)^2 - 5

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Transformations of Quadratics

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Transformations of Quadratics

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner