Unit 6 Review--Quadratic Functions

Unit 6 Review--Quadratic Functions

Multiple Choice

What information does the form of the quadratic equation below show us?

 $y=\left(x-3\right)^2-1$  

• Vertex

• Roots

• Y intercept

• Slope

Multiple Select

Which of the following are other names for the x-intercepts of a quadratic function? Select all that apply:

• Roots

• Zeros

• Y-intercept

• Branches

Multiple Choice

In the following word problem, what information will you need to find?

How far below the surface does the bird need to dive to catch the fish?

• Vertex

• Y-intercept

• X-Intercepts

• Slope

Multiple Choice

Which of the following key features would give us the height of the cliff in the diagram?

• Y-Intercept

• X-intercepts

• Vertex

• Rate of change

Multiple Choice

How does the graph change from

 $f\left(x\right)=x^2$  to  $f\left(x\right)=\left(x-4\right)^2$  ?

• Right 4

• Left 4

• Up 4

• Down 4

Multiple Choice

Given the graph g(x) and the equation  $f\left(x\right)=x^2-4$  , which function has a greater minimum?

• f(x)

• g(x)

• They are equal

Multiple Choice

 $6x^2-8=52$  Solve the equation

•  $\pm\sqrt{10}$  

•  $\pm3$  

•  $\pm5$  

•  $\pm\sqrt{60}$  

Multiple Choice

If

 $f\left(x\right)=g\left(x\right)+k$  , what is the value of k when  $f\left(x\right)=x^2-1$  and  $g\left(x\right)=x^2+4$  

•  $k=-5$  

•  $k=5$  

•  $k=-3$  

•  $k=6$  

Multiple Select

 $g\left(x\right)=\left(x-4\right)\left(x+6\right)$  

What information can the form of the quadratic function give us? (Hint: Remember, certain key features have multiple names for the same thing)

• Roots

• X-intercepts

• Zeros

• Vertex

• Y-intercept

Multiple Choice

 $f\left(x\right)=x^2+2$  

Which of the following graphs represents the function

Fill in the Blanks