91Ó°ÊÓ

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

$x^2+20x+100$

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

$−x^2+3x−1=0$

Record your answers on a sheet of paper. Show your work.

Use the equation and its graph to answer each question.

a. Factor$x^2−7x+10$

b. What are the solutions of $x^2−7x+10=0$?

c. What do you notice about the graph of the quadratic equation and where it crosses the x-axis? How do these values compare to the solutions of $x^2−7x+10=0$? Explain.

Which is an equation for the function shown in the graph?

A$y=−3x^2$

B$y=3x^2+1$

C$y=x^2+2$

D$y=−3x^2+2$

Consider the given function.

$y=x^2−4x+4$

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?

Consider the given function.

$y=−x^2+3x$

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?

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

$4x^2+28x+49$

Solve each equation by completing the square.

$x^2+2x+5=0$

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

$x^2=12$

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?