Question

What is the equation of the parabola?

coordinate plane with a parabola facing down with vertex at 0 comma 5, the point 0 comma 3 and a horizontal line going through 0 comma 7

y = −one eighthx2 + 5
y = one eighthx2 + 5
y = one eighthx2 − 5
y = −one eighthx2 − 5

Answer 1

Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:

y  = -(1/8)*x² + 5.

Which is the equation of the parabola?

The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.

Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.

Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.

Then the constant term must be 5.

So the correct option is the first one:

y  = -(1/8)*x² + 5.

If you want to learn more about parabolas:

https://brainly.com/question/4061870

#SPJ1