Quadratic Translations

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

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

What equation represents the quadratic function?

• y = (x - 8)²

• y = (x + 8)²

• y = x² - 8

• y = x² + 8

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

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

What transformation has occurred from y = x²

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x - 7) - 4. Complete the sentence about the transformation.

The graph of f is translated 7 units​ ​ (a)   ​ and 4 units ​​ (b)   to create the graph of function g.

• right

• down

• reflected

• left

• up

Pick the correct answer.

• F

• G

• H

• J

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 5) + 2. Complete the sentence about the transformation. The graph of f is translated ​​ (a)   units up and (b)   units to the left to create the graph of function g.

• 2

• 5

• 1

• 3

• 4

• 6