9514 1404 393
Answer:
10. see attached
11. axis of symmetry: x=4; vertex: (4, 4); domain: all real numbers; range: y ≤ 4
12. x = -4, -2
Step-by-step explanation:
10. Your graph is substantially correct. (You might do yourself a favor by adding points ±1 either side of the vertex. This will help to make the graph more rounded near the bottom.) The red graph in the attachment is the graph of this function.
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11. The vertex form of this equation is ...
f(x) = -(x² -8x) -12 = -(x² -8x +16) -12 +16
f(x) = -(x -4)² +4
This tells you the vertex is (4, 4). The axis of symmetry is the vertical line through the vertex, so is x=4. The domain of all polynomial functions is "all real numbers." This has a maximum at y=4, so the range is y ≤ 4.
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12. The vertex form of this equation is ...
f(x) = (x +3)² -1
so the vertex is (-3, -1). Points at x = -3 ± 1 will be the x-intercepts, so the solutions to the equation f(x) = 0. The graph of it is the green graph in the attachment.
