Answer:
A, The vertex form of the equation is f(x) = (x + 5)² + 8. The standard form of the equation is f(x) = x² + 10x + 33
Step-by-step explanation:
the vertex form is, as you stated: a(x - h)² + k, where (h,k) is the vertex of the parabola
we are given the vertex (-5,8), so we plug in these values into the equation:
(x + 5)² + 8 (positive 5 on the inside because we are given a -5 and the original equation has a negative on the inside)
to get it into standard form, we can FOIL out (x+5)² to expand the equation, and that gives us:
x² + 10x + 25
now we add 8 to 25 because we cant forget that
x² + 10x + 33 is our equation, meaning the answer is A
