Question

Method. Show all of the work f(x)=-2(x+4)^(2)+2

Answer 1

To evaluate the function f(x) = -2(x + 4)^(2) + 2, follow the order of operations. Simplify inside the parentheses, then square the expression. Multiply the squared expression by -2. Finally, add 2 to the result.

Step-by-step explanation:

To evaluate the function f(x) = -2(x + 4)^(2) + 2, we can follow the order of operations. Here's how:

1. Start by simplifying inside the parentheses: x + 4.
2. Next, square the expression (x + 4) to get (x + 4)^(2).
3. Multiply the squared expression by -2: -2(x + 4)^(2).
4. Finally, add 2 to the result: -2(x + 4)^(2) + 2.

So, the work for the function f(x) = -2(x + 4)^(2) + 2 is:

f(x) = -2(x + 4)^(2) + 2

f(x) = -2(x^2 + 8x + 16) + 2

f(x) = -2x^2 - 16x - 32 + 2

f(x) = -2x^2 - 16x - 30

Learn more about Evaluating a function