Question

Can someone tell me how to evaluate quadratic equations easily with steps (40 points)

here's an example ;^;
f(x) = 3(x + 6)2 - 75

Answer 1

See below

Explanation:

Expansion

`f(x)=3(x+6)^2-75\\\\f(x)=3(x+6)(x+6)-75\\\\f(x)=3(x^2+12x+36)-75\\\\f(x)=3x^2+36x+108-75\\\\f(x)=3x^2+36x+33` <-- Stop here if this is what you need

Factorization

`f(x)=3(x^2+12x+11)\\\\f(x)=3(x+1)(x+11)`

We know from vertex form that the vertex of the parabola is
`(-6,-75)` and when factored, the zeroes are
`x=-1` and
`x=-11`.