The transformations of f(x) are (b) a horizontal shrink by a factor of 1/4, a vertical stretched by a factor of 5 and a reflection across the x-axis
How to describe the transformation from the parent function?
From the question, we have the following function that can be used in our computation:
f(x) = x²
g(x) = -5(4x)²
Mathematically, these equations can be represented as
g(x) = -5f(4x)
The above equations implies that, we have the transformation to be:
- The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4
- The -5 implies that the function f(x) is vertically stretched by a factor of 5 and then reflected across the x-axis
Hence, the transformed function is (b)
Read more about transformation at
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