Algebra Unit 7-Part 2 Review

Given the function  $f\left(x\right)=-5x^2-x+20$ , find  $f\left(3\right)$ .

• -28

• -13

• 62

• 64

Tags

CCSS.HSF.IF.A.2

The axis of symmetry for a function in the form  $f\left(x\right)=x^2+4x-5$  is  $x=-2$ . What are the coordinates of the vertex of the graph?

• (-9, -2)

• (-17, -2)

• (-2, -17)

• (-2, -9)

What is the vertex of the graph of the function  $f\left(x\right)=x^2+8x-2$ ?

• (-8, -2)

• (-4, -18)

• (0, -2)

• (-4, 18)

The function  $f\left(x\right)=-x^2-2x+15$ is shown on the graph. What are the domain and range of the function?

• The domain is all real numbers. The range is  $\left\{y<16\right\}$ .

• The domain is all real numbers. The range is  $\left\{y\le16\right\}$ .

• The domain is  $\left\{-5<x<3\right\}$ . The range is  $\left\{y<16\right\}$ .

• The domain is  $\left\{-5\le x\le3\right\}$ . The range is  $\left\{y\le16\right\}$ .

Which point is an x-intercept of the quadratic function  $f\left(x\right)=\left(x-8\right)\left(x+9\right)$ ?

• (0, 8)

• (0, -8)

• (-8, 0)

• (-9, 0)

Tags

CCSS.HSF-IF.C.7A

Which function has an axis of symmetry of  $x=-2$ ?

•  $f\left(x\right)=\left(x+2\right)^2-1$  

•  $f\left(x\right)=\left(x-2\right)^2-1$  

•  $f\left(x\right)=\left(x+1\right)^2-2$  

•  $f\left(x\right)=\left(x-1\right)^2+2$  

What is the equation of the translated function, $g\left(x\right)$ , if  $f\left(x\right)=x^2$ ?

•  $g\left(x\right)=\left(x+5\right)^2+2$  

•  $g\left(x\right)=\left(x+2\right)^2+5$  

•  $g\left(x\right)=\left(x-5\right)^2+2$  

•  $g\left(x\right)=\left(x-2\right)^2+5$  

Which equation, when graphed has x-intercept at (2, 0) and (4, 0) and a y-intercept of (0, -16)?

• $f\left(x\right)=-2\left(x-2\right)\left(x-4\right)$

• $f\left(x\right)=-2\left(x+2\right)\left(x+4\right)$

• $f\left(x\right)=-\left(x-2\right)\left(x-4\right)$

• $f\left(x\right)=-\left(x+2\right)\left(x+4\right)$

Tags

CCSS.HSF-IF.C.7A

Consider the function shown on the graph.

Which function does the graph represent?

• $f\left(x\right)=\left(x+3\right)\left(x+7\right)$

• $f\left(x\right)=\left(x-3\right)\left(x-7\right)$

• $f\left(x\right)=3\left(x-3\right)\left(x-7\right)$

• $f\left(x\right)=11\left(x+3\right)\left(x+7\right)$

Tags

CCSS.HSA.APR.B.3

What are the zeros of the graphed function $y=\frac{1}{3}\left(x+3\right)\left(x+5\right)$ ?

• -5 and -3

• 5 and 3

• -8 and 5

• 0 and 5

Tags

CCSS.HSF-IF.C.7A