Question

Determine if graph have symmetry with respect to the x-axis, y axis, origin or no of these.

Answer 1

C) origin

Step-by-step explanation

Step 1

A graph is symmetric with respect to the x-axis if whenever a point (x,y) is on the graph the point (x,−y) is also on the graph, if we check in the graph , it will looks like putting a mirron in the x-axis

if the

we can see, the x-axis is the line of simetry, the red function shows a

now, the y-axis simmetry

A graph is symmetric with respect to the y-axis if whenever a point (x,y) is on the graph the point (−x,y) is also on the graph, again image the y axis is a mirror

and

A graph is symmetric with respect to the origin if whenever a point (x,y) is on the graph the point (−x,−y) is also on the graph

so

we can se that for every (x,y) there is a (-x,-y) , the graph has the same shape about the origin

hence, the answer is

C) origin

I hope