Question

question 6 of 10
the equation below describes a parabola. if a is positive, which way does the parabola open?
$x = ay^{2}$
a. down
b. left
c. right
d. up

Explanation:

Step1: Recall the standard form of a parabola

The standard form of a parabola that opens horizontally is \(x = ay^{2}+by + c\).

Step2: Analyze the direction based on the sign of \(a\)

When \(a>0\) in the equation \(x = ay^{2}\), for increasing values of \(y\), \(x\) increases. So the parabola opens to the right.

Answer:

C. Right