Transformation of a Quadratic Function

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

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

Tags

CCSS.HSF-IF.C.7A

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower

• reflected, wider

• shifted down 4 units

• shifted up 4 units

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

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

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 function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

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