Graphing Quadratics

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

In vertex form, what effect does the h have on the graph?

• Translates Up/Down

• Translates Left/Right

• Narrows/Widens Parabola

• Flips it

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left

• Horizontal translation: three units to the right

• Vertical translation: three units up

• Vertical translation: three units down

How would you describe the translation from f(x)=x²  to  f(x)=x²+5 ?

• Horizontal translation: five units to the right

• Horizontal translation: five units to the left

• Vertical translation: five units up

• Vertical translation: five units down

• y=(x-4)²+1
• y=(x-4)²-1
• y=(x+4)²+1
• y=(x+4)²-1

How would you describe the translation from f(x)=x²+2  to  f(x)=x²+7 ?

• Vertical translation: up 2 units

• Vertical translation: up 5 units

• Vertical translation: up 7 units

• Vertical translation: up 9 units

Describe the translation from f(x)=(x+2)²-3  to  f(x)=(x-3)²-5

• Five units to the right, 2 units up

• Five units to the right, 2 units down

• Five units to the left, 2 units up

• Five units to the left, 2 units down

What are the x-intercepts (zeros)?

• x = -2 and x = 2

• x = -1 and x = 1

• x = 0

• x = 2 and x = -4

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down