QuestionThe parabola $x=2 y^{2}-4$ opens in which direction?

Studdy Solution

STEP 1

Assumptions1. The given equation is $x= y^{}-4$ . The equation is in the form of a parabola

STEP 2

The general equation for a parabola is either $y=ax^{2}+bx+c$ or $x=ay^{2}+by+c$ . The first form opens either upwards or downwards, while the second form opens either to the right or to the left.

STEP 3

The given equation $x=2 y^{2}-$ is in the form $x=ay^{2}+by+c$ .

STEP 4

Since the coefficient of $y^{2}$ is positive, the parabola opens to the right.
So, the parabola defined by the equation $x=2 y^{2}-4$ opens to the right.

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