Step-by-step explanation:
This is most easily solved by writing the factored form:
Notice how, if we were to substitute -9 for x, the left part would be -9 + 9 = 0. Since (x + 1) × 0 = 0, this makes the function 0. The same logic applies for the right part.
Answer:
f(x) = (x + 4)² - 3
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 8x + 13
To obtain f(x) in vertex form use the method of completing the square
add/ subtract (half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 13
f(x) = (x + 4)² - 3 ← in vertex form
Answer:
Ellen's survey is more representative
(0,0) represents the very beginning of the rental period: 0 time has elapsed, and thus there is no charge.
(1,125) represents this situation 1 hour after the rental has begun, and shows that the amount due at that point for the rental is
$125.
