Symmetry of a Graph

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• none of these

The line that passes through the vertex of a parabola and divides the parabola into two symmetrical parts

• Vertex

• Axis of Symetry

• Parent function

• Transfomation

What type of symmetry does the following graph have?

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• none

Tags

CCSS.HSF.BF.B.3

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

The graph of function r(x) is shown. Fill in the blanks to describe the function and its graph.

The graph is ​ (a)   with respect to the ​ (b)   , so the function is an ​ (c)   function.

• symmetric

• y-axis

• even

• not symmetric

• x-axis

• origin

• odd

Tags

CCSS.HSF.BF.B.3

What type of symmetry does the following graph have?

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• symmetry with respect to the x-axis, y-axis, and origin

Tags

CCSS.HSF.BF.B.3

Mirror image of a graph over a line; does not change the graphs shape

• Translation

• Transformation

• Vertex

• Reflection

What is the axis of symmetry for this graph?

• y=2

• x=2

• x=0

• y=0

Tags

CCSS.HSF-IF.C.7A