Graph of Quadratic Functions and Their Features

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

Define Zero

• 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

• The highest or lowest point on the graph

• Where the parabola touches or intersects the y-axis

Tags

CCSS.HSF-IF.C.7A

Define Maximum

• The highest or lowest point on the graph

• The highest y-value on the graph

• The lowest y-value on the graph

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

Define Minimum

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

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

• The lowest y-value on the graph

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 equation of the axis of symmetry?

• y = 0

• x = 0

• x = 3

• x = -3

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-SSE.B.3B

CCSS.HSF-IF.C.8A

Define Solution

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

• The highest or lowest point on the graph

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

Tags

CCSS.HSF-IF.C.7A

Find the increasing interval

• x>-1

• x<-1

• x<4

• x>-4

Tags

CCSS.HSF-IF.C.7A