The transformation of a function is horizontally shrink by a factor of 3 .
What is a horizontal shrink?
- We can apply horizontal shrink to a function by multiplying its input values by a scale factor, a, where 0 < 1/a < 1.
Let’s go ahead and look at how f(x) = x2 will be affected by a scale factor of 1/2 and 1/3.
- Below is a graph of the data.
- As we have expected, the graph stretches by a factor of 2 and 3. This is true for all horizontal stretches.
- The graph only stretches away from the y-axis when we horizontally stretch a graph.
- Horizontal stretch on other functions will exhibit similar properties. Let’s say we have f(x) = |x|, if this function’s graph is to be stretched horizontally to attain g(x), the new function’s expression can be expressed as |1/3 ∙ x| = |x/3|.
How do you horizontally shrink by a factor of 3 ?
- If g(x) = 3f (x): For any given input, the output of g is three times the output of f, so the graph is stretched vertically by a factor of 3.
- If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.
Learn more about Transformation on :
brainly.com/question/10644134
#SPJ2
