Question

What is the equation of the parabola that passes through the point (4,-9)?

a) y = -2x^2 + 17x - 33
b) y = x^2 - 7x - 5
c) y = -x^2 + 7x - 5
d) y = -x^2 - 7x + 5

Answer 1

The equation of the parabola that passes through the point (4,-9) is y = -2x^2 + 17x - 33.

Step-by-step explanation:

The equation of the parabola that passes through the point (4,-9) can be found using the vertex form of a parabola, which is y = a(x-h)^2 + k.

We can substitute the given point coordinates into the equation to find the values of a, h, and k.

Plugging in (4,-9), we get -9 = a(4-h)^2 + k. Solving for a, h, and k will give us the final equation of the parabola.

Using the given options, the correct equation is y = -2x^2 + 17x - 33 (option a).