Question

The question was:

Suppose a parabola has vertex (5, –3) and also passes through the point (6, 1). Write the equation of the parabola in vertex form.

The Bot's response was y = (x-5)^2 - 3
Clearly this is wrong, since (6-5)^2 - 3 = -2, not 1.

The correct solution starts by noting that y = a(x-5)^2 - 3
Then we can solve for a by proceeding with
a(6-5)^2 - 3 = 1
a-3 = 1
a = 4

That makes the real solution y = 4(x-5)^2 - 3

Answer 1

Apologies for the incorrect response earlier. You are correct, the correct equation in vertex form is y = 4(x-5)^2 - 3. Thank you for catching that mistake.