8.1 Key Features of Quadratic Functions

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

Answer explanation

This is the definition of x-intercept

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

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

Answer explanation

Definition of y-intercept

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Answer explanation

If the parabola opens down, then the top is the maximum.

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

Answer explanation

If the graph opens upward, then it is the lowest point

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Answer explanation

It is the more general name of either the minimum or maximum of a parabola

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

Answer explanation

It is the imaginary line that slices through the vertex and reflects one side of the parabola to the other side.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

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

Answer explanation

Tags

CCSS.HSA.APR.B.3

What is the y-intercept?

• (6, 0)

• (0, 6)

• (-3, 0)

• (0, -3)

Answer explanation

Where the line crosses the y axis

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

What are the zeros?

• 0 and 2

• -4 and 0

• 2 and 3

• 0 and 4

Answer explanation

Means the same thing as roots.

What is the minimum of this graph?

• (-2,6)

• (-0.5,-3.5)

• (-1,-3)

• (3,0)

Answer explanation

You just have to look at where the vertex is on the graph. The format is (x,y)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7