Write an inequality for each graph.
2 answers:
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Answer:
ƒ(x) = (x - 8)² - 1
Step-by-step explanation:
Start with the basic function: f(x) = x².
To shift the parabola <em>eight units to the left</em>, you must <em>add eight units</em> to the value of x. The equation for the parabola becomes
ƒ(x) = (x - 8)².
To shift the parabola down one unit, you <em>subtract one unit</em> from the function. The equation becomes
ƒ(x) = (x -8)² - 1.
The figure below shows the graphs of ƒ(x) = x² (red), ƒ(x) = (x - 8)² (blue), and ƒ(x) = (x - 8)² - 1 (green).
