Write $25x^2+4y^2-100x+24y+36=0$ in standard form.

Write $x^2+y^2+6x+16y+24=0$ in standard form. What are the center and radius?

Write $25x^2-4y^2+250x-40y+425=0$ in standard form.

Eliminate the parameter from $x=6t$ and $y=t^2+8$ to write a single equation in $x$ and $y$.

Which conic section is $4x^2-y^2-8x+6y-9=0$?

Which curve does $x=4\cos t$, $y=6\sin t$ trace for $0\le t<2\pi$?

A curve is given by $x=t^2+3$ and $y=t-3$. Which point does the curve pass through at $t=4$?

Use the graph. Read the center and the radius of the circle.

Eliminate the parameter from $x=\frac{1}{t}$ and $y=t+11$, where $t\ne 0$, to write a single equation in $x$ and $y$ together with any restriction the pair forces.

Read the center and the radius off $(x-5{)}^2+(y+4{)}^2=64$.

Eliminate the parameter from $x=7\cos t$ and $y=7\sin t$ to write a single equation in $x$ and $y$.

Use the graph. Read the center and the axis lengths of the ellipse.

Eliminate the parameter from $x=\frac{1}{t}$ and $y=t+9$, where $t\ne 0$, to write a single equation in $x$ and $y$ together with any restriction the pair forces.

A projectile's position in feet after $t$ seconds is $x=30t$ and $y=-16t^2+64t$. Where is it at $t=2$ seconds?

A curve is given by $x=t^2-2$ and $y=2t-5$. Which point does the curve pass through at $t=3$?

A curve is given by $x=t^2-4$ and $y=-3t+4$. Which point does the curve pass through at $t=-3$?

A projectile's position in feet after $t$ seconds is $x=30t$ and $y=-16t^2+96t$. Where is it at $t=2$ seconds?

A projectile's position in feet after $t$ seconds is $x=80t$ and $y=-16t^2+64t$. Where is it at $t=3$ seconds?

Eliminate the parameter from $x=\sqrt{t+9}$ and $y=t$, where $t\ge -9$, to write a single equation in $x$ and $y$ together with any restriction the pair forces.

A rocket has height $y=-16t^2+64t$ feet after $t$ seconds, with $x=30t$ feet of horizontal travel. At what time does it return to the ground?