Functions Symmetry

Find the axis of symmetry for the graph

• x = -1

• x = 1

• x = 3

• x = -1 , 3

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?

• the slope of the graph

• the dividing line for a parabola

• a way to spin my pencil

• the x-axis

Find the axis of symmetry for f(x) = x² + 4x - 5 

• x = 2

• x = -2

• x = 4

• x = -4

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Select ALL symmetries of the graphed relation.

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• none of the above

Tags

CCSS.HSF.BF.B.3

If a function has symmetry with respect to the x-axis and the point (1, 4) is on the graph, which other point must be on the graph?

• (-1, -4)

• (-1, 4)

• (1, -4)

• (4, 1)

Tags

CCSS.HSF.BF.B.3

If a function has symmetry with respect to the origin and the point (-3, 5) is on the graph, which other point must be on the graph?

• (-5, 3)

• (5, -3)

• (3, -5)

• (-3, 5)

Tags

CCSS.HSF.BF.B.3

If a function is an even function and the point (-2, 7) is on the graph, which other point must be on the graph?

• (-2, -7)

• (2, 7)

• (2, -7)

• (-7, 2)

Tags

CCSS.HSF.BF.B.3

A table of values for a quadratic function is shown. Which of the following correctly describes the symmetry of this function?