Identifying Quadratic Translations

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Name the transformation & function. y=x² + 7

• vertical up 7 quadratic function

• vertical down 7 quadratic function

• vertical up 7 cubic function

• vertical down 7 cubic function

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

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 with the correct translation occurring:

• Right 2

• y = (x - 2)²

• Left 2

• y = x² - 2

• Up 2

• y = 2x

• No translation occurring

• y = (x + 2)²

• Down 2

• y = x² + 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

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 up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

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 quadratic parent function f was transformed to create the graph of g(x) = f(x + 4) - 9. Complete the sentence about the transformation. The graph of f is translated 4 units​ (a)   ​ and 9 units ​ (b)   to create the graph of function g.

• left

• down

• right

• up

• reflected