Day 57 Unit 6 Review for Test

How does the graph of

 $g\left(x\right)=x^2$  compare to the graph of  $f\left(x\right)=\left(x+4\right)^2+2$  

•  $f\left(x\right)$  is shifted left 4 and down 2

•  $f\left(x\right)$  is shifted right 4 and up 2

•  $f\left(x\right)$  is shifted left 4 and up 2

•  $f\left(x\right)$  is shifted right 4 and down 2

Which transformation of  $y=f\left(x\right)$  moves the graph 7 units left and 3 units down?

•  $y=f\left(x+7\right)-3$  

•  $y=f\left(x+7\right)+3$  

•  $y=f\left(x-7\right)-3$  

•  $y=f\left(x-7\right)+3$  

Factor  $x^2-6x-16$  

•  $\left(x+2\right)\left(x+8\right)$  

•  $\left(x-2\right)\left(x+8\right)$  

•  $\left(x+2\right)\left(x-8\right)$  

•  $\left(x-2\right)\left(x-8\right)$  

A quadratic function that opens down with vertex (-1,4) is represented in the graph provided. If the domain is all real numbers, describe the range of the function.

• $y\le4$

• $y\ge4$
  

• $y\le-1$
  

• $y\ge-1$
  

Does the quadratic function  $y=x^2-6x+5$    have a maximum of minimum? Why?

• The function has a maximum because a<0.

• The function has a maximum because a>0.

• The function has a minimum because a<0.

• The function has a minimum because a>0.

Which equation is equivalent to  $y=x^2-6x+5$  ?

•  $y=\left(x+3\right)^2-4$  

•  $y=\left(x-3\right)^2-4$  

•  $y=\left(x-3\right)^2+4$  

•  $y=\left(x-3\right)^2+5$  

If  $f\left(x\right)=x^2+4x-1$   and  $g\left(x\right)=x-3$   , find the value(s) of  $x$   that satisfy  $f\left(x\right)=g\left(x\right)$  .

•  $\left\{-2,1\right\}$  

•  $\left(-2,-5\right)\ and\ \left(-1,-4\right)$  

•  $\left(-2,-5\right)$  

•  $\left\{-2\right\}$