Question

Given: g(x) = 4 - (x + 3)^2
find the x-intercept​

Answer 1

it is -5 and -1 hope this helps

Answer 2

X intercept is when the function (y) = 0.

0 = 4 - (x+3)^2

(x+3)(x+3) = 4

x^2 + 6x + 9 = 4

x^2 + 6x + 5 = 0

To factor, we find what multiplies to 5 and adds to 6. In this case, it’s 5 and 1.

(x+5)(x+1) = 0

x values of the intercepts are -5 and -1.
The coordinates are (-5,0) and (-1,0).