Question

The graph of the equation x = y2 + 4 is symmetric with respect to which of the following?

a. the 3-axis
c. the line y = -x+ 4
b. the x-axis
d. the line y = x

Answer 1

the graph of the equation will be symmetric about option b.) x axis

Explanation:

i) the given equation is x =
`y^2` + 4

ii) therefore
`y^(2)` = x - 4

iii) the equation is that of a parabola with vertex at (4,0)

iv) the graph of the equation will be symmetric about option b.) x axis