Question

is the equation x=sqrt y symetric across the y axis?

Answer 1

\[x=\sqrt{y}\]
Squaring both sides gives:
\[y=x ^{2}\]
Now consider what value of y results when x=2, x=-2 and x=3, x=-3. Can you see symmetry across the y axis?

Answer 2

if x=-2, can y still be 4?

Answer 3

Yes, if x=-2 the value of y=4

Answer 4

so it would be a parabola that would be symmetric across the y axis?

Answer 5

However if we go back to the original equation, y must always be positive to give a real value for x. In that case x will always be positive and there cannot be symmetry across the y axis. So my idea of squaring both sides is not valid.

Answer 6

so it would not be symmetric aacross the y axis?

Answer 7

Yes, the original equation does not give symmetry across the y axis.

Answer 8

okat thnx

Answer 9

You're welcome :)