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H(x) = (x-1)^2 -9 plot the x intercept

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Answer:

x = -2 and 4

Explanation:

You want a plot of the x-intercepts of H(x) = (x -1)² -9.

X-intercepts

The x-intercepts are the points where the graph crosses the x-axis, the points where H(x) = 0. Solving, we get ...

H(x) = (x -1)² -9

9 = (x -1)² . . . . . . . . add 9

±3 = x -1 . . . . . take the square root

±3 +1 = x = {-2, 4} . . . . . add 1

Plot

The attached graph shows the coordinates of the x-intercept points on the x-axis. The coordinates of the vertex of the parabola are also shown.

H(x) = (x-1)^2 -9 plot the x intercept-example-1
User Mark Snyder
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