Shifting the Vertex of Quadratic Functions

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

The graph of a parent function y=x² is shifted 5 units to left and 4 units down. Which represents the transformed figure?

• y=(x+5)² -4

• y=(x-5)² -4

• y=(x+5)² +4

• y=(x-5)² +4

Shift f(x)=x² three units to the left and 4 units down

• f(x) = (x + 3)² - 4

• f(x) = (x - 3)² - 4

• f(x) = (x + 4)² - 3

• f(x)= (x - 4)² - 3

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

What is the vertex of y=(x + 2)² - 1?

• (2,1)

• (-2,1)

• (0,0)

• (-2,-1)

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left