Quadratic Translations Vocabulary

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Describe the translation of f(x) = x² 
when g(x) = (x + 5)² - 2.

• Right 5 and down 2

• Left 5 and down 2

• Right 5 and up 2

• Left 5 and up 2

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

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = (x - 5)² - 3

• y = (x - 5)² + 3

• y = (x + 5)² - 3

• y = (x - 3)² - 5