how is the graph of y=8x^2-2 different from the graph y=-8x^2?
it is shifted 2 units to the left
it is shifted 2 units to the right
it is shifted 2 units 2 units up
it is shifted 2 units down
The correct answer is: it is shifted 2 units down.
Comparing the two equations, y=8x^2-2 and y=-8x^2, we can see that the only difference is the constant term at the end. In the first equation, the constant term is -2, which means that the graph will be shifted 2 units downward compared to the graph of y=-8x^2. The rest of the equation remains the same, so there are no shifts to the left, right, or up.