Shifting Quadratic Functions

• g(x)=(x-5)²

• g(x)=(x+5)²

• g(x)=x²+5

• g(x)=x²-5

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, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

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

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

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

Describe the transformation of y =(x - 3)² + 5

• translated Right 3, Up 5

• translated Left 3, Up 5

• translated Right 5, Down 3

• translated Right 3, Down 5

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 is the vertex of this quadratic equation?

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)