Many transformations of functions have \"equivalent\" transformations which prod

Question

Many transformations of functions have "equivalent" transformations which produce the same graph. For instance, the line f(x) = 2x can be translated up 4 units to g(x) = 2x+4, while a translation of f(x) two units to the left results in the same graph g(x) = 2(x+2) = 2x+4. -Find an equivalent transformation to a vertical stretch by a factor of 4, of the quadratic function f(x) = x^2. -Find an equivalent transformation to a vertical stretch by a factor of 8, of the exponential function f(x) = 2^x.

Explanation / Answer

x^2+4

2^x+4

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