Key Features of Quadratic Functions in Standard Form

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 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 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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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 Vertex

• Where the parabola touches or intersects the x-axis

• The highest or lowest point on the graph

• Where parabola line 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.B.4

CCSS.HSG.GPE.A.2

Define Axis Of Symmetry

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

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

• The highest y-value on the graph

• The highest or lowest point on the graph

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

This is the standard form of a quadratic function:

f ( x ) = ax² + bx + c

• True

• False

Tags

CCSS.HSA.APR.A.1

Identify a: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Identify b: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Identify c: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3