Quadratic Key Functions

Determine the domain and range of the function

• Domain: All real numbers, Range: All real numbers

• Domain: x ≥ -4, Range: All real numbers

• Domain: All real numbers, Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

What are the zeros of the function? Choose all that apply.

• x = 0

• x = -3

• x = -6

• y = 18

Which statement about the graph is FALSE?

• The vertex is (-3, 18)

• The vertex is a maximum

• The y-intercept is y = 0

• The axis of symmetry is y = -3

Which statement about the graph is FALSE?

• The vertex is also a zero of the function

• The y-intercept is (0, -2)

• The axis of symmetry is x = 2

• The range is y ≥ 0

What is the significance of the ordered pair (1, -2) to the graph?

• It is the maximum point

• It is the vertex

• It is the y-intercept

• It is an x-intercept

What is the significance of the ordered pair (3, 0) to the graph?

• It is the maximum point

• It is the vertex

• It is the y-intercept

• It is an x-intercept

Which point is the vertex?

• (-8, 0)

• (-5, -9)

• (-2, 0)

• (-9, -5)

State the domain and range.

• Domain: All real numbers, Range: y ≥ -9

• Domain: All real numbers, Range: All real numbers

• Domain: x ≥ -8, Range: y ≥ -9

• Domain: x ≥ -8, Range: All real numbers

Determine the key features of the given function. Pick all that apply.

f\left(x\right)=\ x^2+10x\ +16

• y-intercept is located at (0, 16)

• y-intercept is located at (0, 10)

• It is a positive function with a minimum

• It is a negative function with a maximum

• Reflects over the x-axis

Determine the key features of the given function. Pick all that apply.

f\left(x\right)=\ -x^2+14x\ -48

• y-intercept is located at (0, 14)

• y-intercept is located at (0, -48)

• It is a positive function with a minimum

• It is a negative function with a maximum

• Reflects over the x-axis