Key Attributes of a Quadratic Function

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

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)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)

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

What are the zeros (also called x-intercepts, roots, and solutions) of the quadratic graph?

• −2 and 2

• −2 and 1

• −3

• −1 and 2

What is the vertex of the quadratic graph?

• V: (4, −2)

• V: (−2, 4)

• V: (2, 4)

• V: (−2, −4)

What is another word for the x-intercepts of a quadratic graph?

• Roots

• Zeros

• Solutions/Answers

• All of these

When a parabola opens downward the vertex is

• a minimum

• a maximum

• a vertex

• a parabola

The quadratic parent function

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2