Part (a)
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Explanation:
Draw a vertical line through -2 on the x axis. This vertical line will cross the blue parabola at some point P. From point P, draw a horizontal line to the y axis. You should arrive at y = -2. Figure 1, in the attached diagram below, shows this process.
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Part (b)
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Explanation:
Draw a horizontal line through y = 1 on the y axis. This is because y = f(x).
This horizontal line crosses the parabola at two places. Drop a vertical line straight down to the x axis to note the x values that make f(x) = 1 true.
You should find the solutions to be x = -3 and x = 1
See figure 2.