Recursive equation would be f(x+1) = f(x) - 25 with f(0) = 300
Explicit equation would be f(x) = -25x + 300
And graph would looks like this:
GIVEN:
We are given the following polynomial;

Required;
We are required to factorize this polynomial completely.
Step-by-step explanation;
To factorize this polynomial, we start by grouping;

We now take the common factor in each group;

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

Therefore, the factors of the other parenthesis are;

Therefore, the complete factorization of the polynomial is;
ANSWER:

Option C is the correct answer.
Answer:
y = 2x^2 - 12x + 27
Step-by-step explanation:
<u>Step 1: Distribute the power</u>
y = 2(x - 3)² + 9
y = 2(x^2 - 6x + 9) + 9
y = 2x^2 - 12x + 18 + 9
y = 2x^2 - 12x + 27
Answer: y = 2x^2 - 12x + 27