The graph of h is a translation 4 units right and 1 unit down of the graph of f(x) = 3(x - 5)^2 - 1. Write an equation for h(x) in vertex form and explain how you reached your answer.

h(x) = 3(x - 9)² - 2

Step-by-step explanation:

Rules for translation of a function are as follows:

f(x) + a = vertical translation of f(x) upwards by a units

f(x) - a = vertical translation of f(x) downwards by a units

f(x + a) = horizontal translation of f(x) leftwards by a units

f(x - a) = horizontal translation of f(x) rightwards by a units

So, using the above the rules:

h(x) = f(x - 4) - 1

h(x) = (3((x - 4) - 5)² - 1) - 1

h(x) = 3(x - 9)² - 2

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step-by-step explanation:

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.