Which of the following ordered pairs lies on the graph of h(x) = -2x 2 ?
(1, -4)
(1, 4)
(1, -2)
To determine if an ordered pair lies on the graph of a function, we substitute the x-coordinate into the function and check if the resulting y-coordinate matches.
For the function h(x) = -2x^2, let's substitute the x-coordinate from each ordered pair:
1. For (1, -4): h(1) = -2(1)^2 = -2(1) = -2. The y-coordinate does not match, so (1, -4) does not lie on the graph.
2. For (1, 4): h(1) = -2(1)^2 = -2(1) = -2. Again, the y-coordinate does not match, so (1, 4) does not lie on the graph.
3. For (1, -2): h(1) = -2(1)^2 = -2(1) = -2. This time, the y-coordinate matches, so (1, -2) lies on the graph.
Therefore, the ordered pair (1, -2) is the answer.