Compare Quadratic Function to Parent Function

What is the parent function of a quadratic?

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units

• horizontal shift left 5 units

• vertical shift up 5 units

• vertical shift down 5 units

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units

• Vertical shift down 8 units

• Horizontal shift right 8 units

• Horizontal shift left 8 units

Compare y = 2(x - 3)² + 5 to the parent function y = x²

• vertical stretch, moves 3 units left and 5 units up

• vertical shrink, moves 3 units left and 5 units up

• vertical shrink, moves 3 units right and 5 units up

• vertical stretch, moves 3 units right and 5 units up

Compare g(x) = x² - 7 to the parent function f(x) = x²

• moves 7 units right

• moves 7 units left

• moves 7 units up

• moves 7 units down

Compare y = x² + 5 to the parent function y = x²

• moves 5 units right

• moves 5 units left

• moves 5 units up

• moves 5 units down

Compare y = x² - 7 to the parent function y = x²

• moves 7 units right

• moves 7 units left

• moves 7 units up

• moves 7 units down

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²

• f(x)=3/5x²+8

• f(x)=x²

• f(x)=3/5x²-8

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