Quiz about Graphing Quadratic Functions

Question 1

Mitchell knows that $$f\left(x\right)=x^2$$ is the parent graph of a quadratic. What steps should he take if he wants to transform the parent graph to obtain the graph of $$f\left(x\right)=\left(x+6\right)^2-3$$ ?

Accepted Answer

He should shift it 6 units to the left and 3 units down.

Answer

He should shift it 6 units to the right and 3 units up.

Answer

He should shift it 6 units to the left and 3 units up.

Answer

He should shift it 6 units to the right and 3 units down.

Question 2

A function is shown below.

$$f\left(x\right)=2x^2-3x$$

What is the value of $$f\left(4\right)$$ ?

Accepted Answer

20

Answer

29

Answer

44

Answer

52

Question 3

Yuna is asked to find the minimum value of the function shown.

$$f\left(x\right)=x^2+6x+4$$

She decides to complete the square to reveal the minimum value. Which shows the function Yuna created and the minimum value of this function?

Accepted Answer

Question 4

Find the x-intercepts of the graph of $$y=8x^2+2x-3$$ .

Accepted Answer

Question 5

What are the x-intercepts of the graph of the function below?

$$f\left(x\right)=2x^2+11x-6$$

Accepted Answer

Question 6

Does the graph of $$h\left(x\right)+k$$ have a maximum or minimum?

Accepted Answer

Maximum

Answer

Minimum

Question 7

$$y=-2x^2+4x+1$$

Find the vertex for the graph of the above equation and identify whether it is a maximum or a minimum.

Accepted Answer

(1, 3) ; maximum

Answer

(-1, -5) ; minimum

Answer

(1, 3) ; minimum

Answer

(-1, -5) ; maximum

Question 8

Which equation shows an equation equivalent to $$f\left(x\right)=x^2+12x+7$$ ?

Accepted Answer

Graphing Quadratic Functions

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