Question

20 points if you answer

Please answer quick
Consider the function shown on the graph.
Which function does the graph represent?
- f(x)=(x-3)(x-7)
- f(x)=3(x-3)(x-7)
- f(x)=11(x+3)(x+7)
- f(x)=(x+3)(x+7)

Answer 1

f(x) = 3(x - 3)(x - 7)

Explanation:

f(x) = A(x - 3)(x - 7)

Using (5,-12)

-12 = A(5-3)(5-7)

-12 = A(2)(-2)

-12 = -4A

A = 3

f(x) = 3(x - 3)(x - 7)

Answer 2

Explanation:

Step 1: Find the equation

Since the x-intercepts are at 3 and 7, the factors are going to be the opposite. (x - 3) and (x - 7)

Since it is a stretched parabola, there is a number in front of the factors.

f(x) = 3(x - 3)(x - 7)

Answer: Option B