Question

Which equation represents the parabola shown on the graph? y^2=-2x y^2=-8 y^2=-2y y^2=-8y

Answer 1

Choice B is correct

Explanation:

The graph of the parabola opens towards the left. This implies that the general form of the equation of the parabola will be;

`y^(2)=f(x)`

Nevertheless, the points (-2, -4) and (-2, 4) lie on the graph of the parabola. We substitute x = -2 in the equations having the form above.

In the second equation, we have;

`y^(2)=-8(-2)\\\\y^(2)=16\\\\y=√(16)=+4, -4`

This is thus the equation of the parabola graphed.