Use the equation $y=x^2-6 x+8$ to answer the following questions.

For what values of $x$ is $y=-10$?

You can use the formula

$$a = \frac { h } { n }$$

to find the batting average a of a batter who has h hits in n times at bat. Solve the formula for h. If a batter has a batting average of. 290 and has been at bat 300 times, how hits does the batter have?

Find an equation of the line that passes through the midpoint of the line segment joining the points $P_1(-1,-3)$ and $P_2(3,3)$ and the midpoint of the line segment joining the points $P_3(-2,3)$ and $P_4(2,-3)$.

Sketch the curve represented by the parametric equations (indicate the direction of the curve), and write the corresponding rectangular equation by eliminating the parameter.

x=t$^2$+t, y=t$^2$-t

Sketch the plane curve represented by the parametric equations

$$x=6\cos{t},\ y=4\sin{t},\ \pi\leq t\leq2\pi$$

by eliminating the parameter.

(a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

$x=t+1, \quad y=\frac{t}{t+1}$

Sketch the plane curve represented by the parametric equations

$$x=\sqrt{t}\quad\text{}\quad y=2t-1$$

by eliminating the parameter.

Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.

$$x=t^3-t, y=4 t$$

(a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

$x=\sqrt{t}, \quad y=1-t$

(a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

$$x=e^t, \quad y=e^{-t}$$

(a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

$x=2 t, \quad y=t+6$

(a) Sketch the curve represented by the parametric equations. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.

$x=|t|, \quad y=|1-| t||$

Sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $x=e^{-2 t}, \quad y=e^{3 t}$

Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.

$$x=2 t^2, y=t^3+1$$