Question

Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, and the

origin.
Is the graph symmetric with respect to the x-axis? Choose the correct answer below.
OA. Yes; because when the graph is folded along the x-axis, the parts above and below
the x-axis coincide.
OB. Yes; because when the graph is rotated 180° about the origin, the parts above and below
the x-axis coincide.
OC. No; because when the graph is folded along the x-axis, the parts above and below
the x-axis do not coincide.
OD. No; because when the graph is folded along the line x = y, the parts above and below the
line x = y do not coincide.
Is the graph symmetric with respect to the y-axis? Choose the correct answer below.
OA. Yes; because when the graph is folded along the y-axis, the parts to the left and right of
the y-axis coincide.
OB. No; because when the graph is folded along the y-axis, the parts to the left and right of
the y-axis do not coincide.
OC. Yes; because when the graph is folded along the line x = y, the parts above and below th
line x = y coincide.
O D. No; because when the graph is rotated 360° about the origin, the parts to the left and
right of the v-axis do not coincide.

Answer 1

Explanation:

Is the graph symmetric with respect to x axis.

No, because when we folded it along the x axis, the parts does not coincide.

Is the graph symmetric with respect to y axis?

Yes; because when the graph is folded along the y-axis, the parts to the left and right of

the y-axis coincide.

Answer 2

Inspecting the graph, we can say that

OC. No; because when the graph is folded along the x-axis, the parts above and below the x-axis do not coincide.

OA. Yes; because when the graph is folded along the y-axis, the parts to the left and right of the y-axis coincide.

When is a graph symmetric to the y-axis

A graph is symmetric with respect to the y-axis if it remains unchanged when reflected across the y-axis.

A figure is y-axis symmetric if, for every point (x, y) in the graph, the point (-x, y) is also part of the graph.

The graph attached shows symmetric on y-axis