The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

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02-09-2022
Mathematics

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The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

Sagot :

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reinhard10158 reinhard10158 · Answer 1 · 2022-09-03T00:02:02-04:00

Answer:

y = -f(x - 5)

Step-by-step explanation:

the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.

shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).

and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).

therefore, the new

y = -f(x - 5)

Sagot :

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