Question

Evaluate the function f(x)=x² - 2x + 5 evaluate

f(-6) = ____
f(x+2) = ____
f(-x) = ____

Answer 1

To evaluate f(x)=x² - 2x + 5 for different values, substitute the values into the function. The results are f(-6) = 53, f(x+2) = x² + 2x + 5, and f(-x) = x² + 2x + 5.

Step-by-step explanation:

To evaluate the function f(x)=x² - 2x + 5 at different values, we substitute the given values into the function.

• For f(-6), we substitute x with -6: f(-6)=(-6)² - 2*(-6) + 5 = 36 + 12 + 5 = 53.

• For f(x+2), we substitute x with (x+2): f(x+2)=(x+2)² - 2*(x+2) + 5 = x² + 4x + 4 - 2x - 4 + 5 = x² + 2x + 5.

• For f(-x), we substitute x with -x: f(-x)=(-x)² - 2*(-x) + 5 = x² + 2x + 5.

This gives us the values of the function for different inputs: f(-6) = 53, f(x+2) = x² + 2x + 5, f(-x) = x² + 2x + 5.