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Compress the graph of f(x) horizontally by a factor of 1/3

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4 votes

Answer:

g(x) = -|8x| +5

Explanation:

User T J
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The equation of the horizontally compressed graph of f(x) is g(x) = f(3x).

To horizontally compress the graph of f(x) by a factor of 1/3, we need to multiply the input of f(x) by 1/3.

This means that the x-values of the graph will be compressed by a factor of 1/3.

  • Identify the original function f(x). Let's say f(x) = x^2 + 3x - 2.
  • Determine the factor of compression. In this case, the compression factor is 1/3.
  • Multiply the input of the original function by the compression factor. For each x-value, multiply x^2 + 3x - 2 by 1/3.
  • Substitute the x-values into the new function to find the corresponding y-values.
  • Write the equation for the horizontally compressed graph as g(x) = f(3x).

Therefore, the equation of the horizontally compressed graph of f(x) is g(x) = f(3x).

Compress the graph of f(x) horizontally by a factor of 1/3-example-1
User JP Zhang
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