Parabola Wrap-Up

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

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4
• f(x)=(x-3)²-4
• f(x)=(x+4)²-3
• f(x)=(x-4)²-3

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

What is the vertex of the graph?

• (2,4)
• (-2,-4)
• (4,2)
• (-4,-2)

The quadratic parent function

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

The highest or lowest point on the graph of a quadratic equation.

• minimum
• maximum
• vertex
• axis of symmetry

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the equation open up or down? 
Y = -3x² +7x - 2

• up
• down

Tags

CCSS.HSF-IF.C.7A

Does y = -4x² have a maximum or minimum value?

• maximum
• minimum

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• y intercept

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4
• x=-4
• x=1/2
• x=3