Symmetry in Functions

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)

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)

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)

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

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

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 parabola?

• x = 2

• x = - 8

• x = -1

• y = -1

What is the axis of symmetry of the given function?

• x = -4

• x = 4

• x = -2

• x = 2