Understanding Vertical Function Transformations: Exploring the Equation H(x) = k * f(x)

H(x)=k * f(x) represents

The equation H(x) = k * f(x) represents the result of applying a scaling factor k to the function f(x)

The equation H(x) = k * f(x) represents the result of applying a scaling factor k to the function f(x).

In mathematics, functions represent a relationship between input values (x) and output values (f(x)). By multiplying f(x) by a constant factor k, we can stretch or shrink the function vertically.

The value of k determines the scaling factor. If k is greater than 1, the function will be stretched vertically, resulting in a taller graph. If k is between 0 and 1, the function will be compressed vertically, resulting in a shorter graph. If k is negative, the function will be reflected vertically, flipping the graph across the x-axis.

So, H(x) = k * f(x) gives you a new function, H(x), which is the vertical transformation of the original function f(x) by a factor of k.

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