Question

A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4.

In which direction does the parabola open?
up
down
right
left

Answer 1

The direction does the parabola open is right. Option C

What is the equation of a parabola?

It is important to note that the general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h

where

⇒ (h , k) denotes the vertex.

Also, the standard equation of a regular parabola is y² = 4ax.

From the equation given , we have

• The vertex of the parabola is at (0, 0)

• Directrix of the parabola is x = -4

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

It is important to note that ;

• If the x - axis has a positive value, the parabola shifts to the left
• if the x- axis has a negative value, the parabola shift to the right

From this, we can see that the parabola would open in the right direction

Thus, the direction does the parabola open is right. Option C

Learn more about a parabola here:

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