The graph of the function f(x) = x^2 will be shifted 2 units up, 1 unit left, and rotated 180 degrees. What is the resulting function g(x)?

g(x) = - (x+1)^2 +2

Step-by-step explanation:

1. Shifting up 2 units is y = x^2 + 2

2. Shifting to the left is y = (x + 1)^2

3. Rotating 180 degrees is just flipping the x-axis which means the whole equation becomes negative, y = -x^2

4. Therefore if you add it all up it becomes y = - (x+1)^2 +2

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168