Question

Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?
f(x) = 1/4 (x − 4)2 − 3
f(x) = 1/8 (x + 4)2 − 3
f(x) = −1/8 (x − 4)2 + 3
f(x) = −1/4 (x + 4)2 − 3

Answer 1

first we begin by drawing what is given
i draw the diretrix and the focus point

Answer 2

now we know that the parabola should face down toward the focus

Answer 3

I actually got the answer, it's f(x) = −one eighth (x − 4)2 + 3. Thank you so much for your help though :)

Answer 4

now this an estimate to what it could look like