Question
Suppose f(x) = (x+1)3. If g(x) is the function whose graph is reflection of the graph of f(x) with respect to the line x = 3 and h(x) is the reflection of g(x) with respect to the x-axis, then h(8) equals:
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Answer:
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Reflection of the functionf(x) = (x+1)3 about the line x=3 is going to be g(x) =(x - 7)3. g(x) is the translation of f(x) 4 units to the right of x=3. h(x) being the reflection of g(x) about the x-axis is going to be -(x - 7)3 So the value of h(x) at x=8 will be -(8 - 7)3 = -1.
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Reflection of the functionf(x) = (x+1)3 about the line x=3 is going to be g(x) =(x - 7)3. g(x) is the translation of f(x) 4 units to the right of x=3. h(x) being the reflection of g(x) about the x-axis is going to be -(x - 7)3 So the value of h(x) at x=8 will be -(8 - 7)3 = -1.
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