Answer:
D and E
Step-by-step explanation:
f(x) = (x - 3)² - 25
x intercepts occur when y = 0
0 = (x - 3)² - 25
25 = (x - 3)²
±5 = x - 3
x = 8, or -2
A) g(x) = 2x + 2
0 = 2x + 2
x = -1 Nope
B) h(x) = 2x + 6
0 = 2x + 6
x = -3 Nope
C) q(x) = -4x + 11
0 = -4x + 11
x = 11/4 Nope
D) r(x) = -3x - 6
0 = -3x - 6
x = -2 YES
E) w(x) = 3x - 24
0 = 3x - 24
x = 8 YES
This is a quadratic equation. There's a shortcut (two shortcuts really) called the Shakespeare Quadratic Formula (2b or -2b) applicable when the middle term is even:
OK, our problem is
Typically we'd write but the answers here don't so we won't either.
Answer: C and D