Question

This parabola opens to the left. P. O A. True O B. False

Answer 1

Answer:

True.

Explanation:

We take the analogy from the graph of y = ax^2

When y = x^2, the parabola opens upward (towards the positive y-axis). However, when the parabola is y = -x^2, it opens downward (towards the negative y-axis).

In a similar way, when we have x = ay^2, the parabola opens towards the positive x-axis ( towards the right). However, if we have x = -ay^2, then the parabola opens towards the negative x-axis ( towards the left).

Therefore, by comparison, x = - 1/8 y^2, opens to the left, and the correct option to choose is 'True'.