Let f(x) be an exponential functionWhich transformations to the graph of f(x) would describe e - f(x - 3) ?

9514 1404 393

Step-by-step explanation:

The transformation ...

  g(x) = a×f(x-h) +k

performs a vertical stretch by the factor 'a', and a translation by (h, k), which is h units right and k units up. When 'a' is negative, there is a reflection over the x-axis.

Here, we have 'a' = -1, h = 3, k = 'e'. So, the graph of f(x) has been ...

  reflected over the x-axis

  translated right by 3 units

  translated up by 'e' units

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Additional comment

We don't know if your 'e' is a typo. When talking about exponential functions, 'e' often refers to the base of natural logarithms, an irrational number approximately equal to 2.718281828459045...

Here's a graph of an exponential function transformed as you have indicated.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent