Let f(x)=10x . which function represents a transformation of f(x) by a vertical stretch with factor 1.25?

Hi!

The function that represents a transformation by a vertical stretch of 1.25 factor is g(x)=1.25 * 10x

Step-by-step explanation:

By definition, if you have the equation  f(x)=mx, the m is acting as the vertical stretch function. This means the larger the absolute value of m, the steeper the slope.

For the function f(x) = 10x, m=10. If you want to increase 1.25 the vertical stretch of f(x), then you have to multiply by 1.25m the vertical stretch.

g(x) = 1.25*10x → g(x) 12.5x

See the graphs of g(x) and f(x) on the attachment.

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