Parabola characteristics Extensive

Which point is the y-intercept of the parabola on the graph?

• A

• B

• C

• D

Answer explanation

The y-intercept is where the parabola crosses the y-axis.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

How many x-intercepts does the parabola have?

• 1

• 2

• 3

• none

Answer explanation

The x-intercepts is where the parabola crosses the x-axis. This parabola has 2 x-intercepts.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

Which point is the NEGATIVE X-intercept of the parabola on the graph?

• A

• B

• C

• D

Answer explanation

The x-intercept is where the parabola crosses the x- axis.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which point is the POSITIVE X-intercept of the parabola on the graph?

• A

• B

• C

• D

Answer explanation

The x-intercept is where the parabola crosses the x- axis.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which point is the VERTEX of the parabola on the graph?

• A

• B

• C

• D

Answer explanation

The vertex is the lowest or highest point of the parabola. It the point where the parabola curves.

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

The vertex, would it be considered a maximum point or minimum point?

• Maximum

• Minimum

• Neither

Answer explanation

The vertex, point B, is considered to be the lowest point. Thus the vertex is called a minimum.

What is the Domain of the parabola on the graph?

• All real numbers.

• All real numbers greater than or equal to -3.

• All real numbers less than or equal to -3.

Answer explanation

Notice that the parabola has TWO ARROWS. The graph uses all negative, positive, whole numbers and fractions for its x-values. Thus, the DOMAIN is all real numbers.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Which way does the parabola open?

• Upward

• Downward

• Sideways

Answer explanation

Notice that the parabola has TWO ARROWS and opens Up. This parabola opens UPWARDS.

Tags

CCSS.HSG.GPE.A.2

Parabolas have an axis of symmetry. Through which point would this axis of symmetry go through?

• A

• B

• C

• D

Answer explanation

Axis of symmetry is an imaginary vertical line that cuts the parabola in half. Parabolas are symmetrical, so the axis of symmetry goes through the vertex of the parabola.

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

What is the RANGE of the parabola on the graph?

• All real numbers.

• All real numbers greater than or equal to -3.

• All real numbers less than or equal to -3.

Answer explanation

Notice that the parabola has TWO ARROWS and opens UPWARD. There are NO y values below -3. The graph uses all negative, positive, whole numbers and fractions for its y-values greater than -3. Thus, the Range is all real numbers greater than or equal -3.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.2