precalculus help

Question

Write the standard form of the equation of the parabola that has a vertex at (−23,19)

 and passes through the point (1, -4).

Select one:

a. f(x)=−375(x−23)2−19

b. f(x)=−375(x+23)2+19

c. f(x)=−3725(x+23)2+19

d. f(x)=−3725(x−32)2+19

Answer 1

A parabola with vertex at (h,k) will have an equation of the form f(x) = a(x-h)² + k.

Substitute 1 for x and -4 for f(x) to determine the value of a.