91Ó°ÊÓ

Consider the given function.

$y=x^2−2x−3$

a. Determine whether the function has a maximum or minimum value.

b. State the maximum or minimum value.

c. What are the domain and range of the function?

Juan hits a baseball. The equation $h=−16t^2+120t$models the height $h$, in feet , of the ball after $t$seconds. How long is the ball in the air?

Solve each equation by completing the square.

$x^2−x−6=0$

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

$a^2−22a+121$

Solve each equation by completing the square.

$2x^2−36=−6x$

Christopher is repairing the roof on a shed. He accidentally dropped a box of nails from a height of 14 feet. This is represented by the equation $h=−16t^2+14,$ where $h$ the height in feet and $t$ is the time in seconds. Describe how the graph is related to .

Consider the given function.

$y=−x^2+2$

b. State the maximum or minimum value.

c. What are the domain and range of the function?

Solve the equation by using the Quadratic formula. Round to the nearest tenth if necessary.

$x^2−x−30=0$

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

$5t^2−12t+25$

Describe how the graph of the given function is related to the graph of

$$\begin{gathered} f\left(x\right)=x^2 \\ g\left(x\right)=x^2+3 \end{gathered}$$