Shifts of Quadratics

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 4)²?

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

What are the transformations?y=(x - 2)² + 4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

Which function's graph is the result of shifting the graph of f(x)=-x²-4 3 units down?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

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

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 would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x²+2?

• g(x)=x²+3

• g(x)=7x²+2

• g(x)=4x²+3

• g(x)=4x²+5