Question

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.

5) x2 + 2y4 = 5

Answer 1

if we solve for y .....

Answer 2

the function looks to me to be even overall so wrtO seems out of the picture

Answer 3

x2 + 2y4 = 5

2y4 = 5-x^2

y = +- 4rt((5-x^2)/2)

Answer 4

if x=1 is the same as x=-1; theres a high chance its sym about the y axis

Answer 5

as im getting "y" by itself how do I get rid of the power of 4?

Answer 6

take the 4throot

Answer 7

to undo a square, take the sqrt

to undo a cube, take the cbrt

to undo the nth, take the nroot th

Answer 8

hmmm, now that i think of it more, lets take this example