Quadratic Functions - Key Features

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Tags

CCSS.HSF-IF.C.7A

Define Y-intercept

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

Tags

CCSS.HSF-IF.C.7A

Define Roots

• Where the parabola touches or intersects the y-axis

• The lowest y-value on the graph

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Tags

CCSS.HSF-IF.C.7A

What is the vertex?

• (-3, 0)

• (3, 0)

• (0, 18)

• (18, 0)

What is the equation of the axis of symmetry?

• y = 0

• x = 0

• x = 3

• x = -3

Which of the statements about the graph is FALSE?

• The vertex is a maximum

• There are two zeros at x = -3 and x = 3

• The y-intercept is (0, 18)

• The range is y ≥ 18

Tags

CCSS.HSF-IF.C.7A

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSA.APR.B.3