Answer:
f(x) = 38
Explanation:
To find f(x), we must evaluate the expression: x^2 - 4x + 6 when x = -4
Let's break this down:
The first part of this equation is x^2. Plug in -4 for x and solve: -4^2 = 16
Next is -4x. Once again, substitute x with -4, and you have: -4(-4) = 16
And finally, the last part of the expression is just 6, which is a constant, so no solving is necessary.
Now take all the parts of your expression and piece them back together:
16 + 16 + 6 should be the final expression you get.
Solve that expression: 16 + 16 + 6 = 38
Plug the answer back into the equation, and you'll get f(x) = 38.
Hope this helps!