Math(Please check! Thank You)
posted by Hannah .
List the intercepts and test for symmetry.
y^2  x  4 = 0
I got (4,0) and (0,2) for the intercepts.
y^2  x  4 = 0 Is not symmetrical to the x axis, correct?
y^2(x)  4 = 0 Is not symmetrical to the y axis, correct?
y^2 + x  4 = 0 Is not symmetrical to the origin, correct?

Since x is in the 1st degree and y is in the 2nd degree, this is an x parabola. So we solve for x and get:
x = y^2  4,
We have the difference of 2 squares:
(y + 2) (y  2) = 0,
y + 2 = 0,
y = 2.
y  2 = 0,
y = 2.
Solution set: y = 2, and y = 2.
The x parabola is symmetric to the x
axis.
The yintercepts are 2, and 2.