Question

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that apply.

g(x) = x2 – 4x – 21
g(x) = (x – 3)(x + 7)
g(x) = 3x2 – 12x – 63
g(x) = –(x + 3)(x – 7)
g(x) = x2 + 4x – 21

Answer 1

`g(x) = -(x+3)(x-7)` and
`g\left(x\right)\:=\:3x^2-12x-63`

are the correct answers.

Explanation:

Answer 2

1,3,and 4 because for 1 and 3 if you factor it out you can get (x+3)(x-7) which if you solve it it creates them to be -3 and 7. The 4 one is already factored you just solve it and it also becomes -3 and 7. The - outside the parentheses is nothing.