Quadratics Transformations and Characteristics

Identify the domain and range of the function.

• Domain: -6 ≤ x ≤ 2
  Range: -3 ≤ y ≤ 5

• Domain: All real number
  Range: -3 ≤ y ≤ 5

• Domain: All real numbers
  Range: y ≥ -3

• Domain: All real number
  Range: y ≤ -3

What is the significance of the ordered pair (2, -4) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

The quadratic parent function is

• y = x

• f(x) = x

• f(x) = x²

• y = √x

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

What is the vertex of this quadratic equation?  
y = 2(x - 2)²  +  5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-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

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

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2