Question

The function g is given in three equivalent forms.

Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
A
g(x) = -2(x + 4)2 + 18
B
g(x) = - 2x2 - 16 - 14
C
g(x) = -2(x + 1)(x + 7)


Write on of the zeros
X=____

Answer 1

Option C g(x) = -2(x + 1)(x + 7) quickly reveals the zeros (or "roots") of the function

Write one of the zeros

X=-1, X=-7

Explanation:

We need to determine which form most quickly reveals the zeros (or "roots") of the function.

We will check each Option.

Option A:

g(x) = -2(x + 4)^2 + 18

We have to solve the part (x+4)^2 and then find the zeros

Option B

g(x) = - 2x^2 - 16x - 14

We need to solve the quadratic equation to find the zeros

Option C

g(x) = -2(x + 1)(x + 7)

This is in most simplest form

if we put it equal to zero, we can find zeros easily

-2(x + 1)(x + 7)=0

x+1=0. x+7 =0

x=-1, x=-7

So, Option C g(x) = -2(x + 1)(x + 7) quickly reveals the zeros (or "roots") of the function

Write one of the zeros

X=-1, X=-7