On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x

Question

2 years ago

8

= 2.
Which equation represents the parabola shown on the graph?
y2 = –2x
y2 = –8x
x2 = –2y
x2 = –8y

1 answer:

Musya8 [376] · Answer 1 · 2023-06-22T15:28:06+03:00

The equation represents the parabola shown on the graph is x^2 = - 8y . Option D

<h3>How to determine the equation</h3>

We were given the following parameters;

The standard for a parabola is given as;

y² = 4ax

It can also be written as;

x² = 4ay

Given the focus as ( -2, 0), we have the value of 'a' to be -2

Now, let's substitute the value into the standard equation of a parabola

x^2 = 4ay

x^2= 4 × -2 × y

Multiply through

x^2 = - 8y

The equation of the parabola is x^2 = - 8y

Thus, the equation represents the parabola shown on the graph is x^2 = - 8y . Option D

Learn more about a parabola here:

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