Question

Which equation is equivalent to the formula below?

Answer 1

B:
`a = (y - k)/((x - h)^(2) )`

Explanation:

Given the quadratic formula in vertex form,
`y = a(x - h)^(2) + k`

Start with subtracting k from both sides of the equation:

`y - k = a(x - h)^(2) + k - k`

`y - k = a(x - h)^(2)`

Then, isolate a by multiplying both sides of the equation by
`[(1)/((x - h)^(2))]`:

`y - k [(1)/((x - h)^(2))] = a(x - h)^(2) [(1)/((x - h)^(2))]`

This leaves you with the final answer:

`(y - k)/((x - h)^(2)) = a`