What kind of transformation converts the graph of f(x)=–8(x+4)2+1 into the graph of g(x)=–8(x+9)2+8?

Question

What kind of transformation converts the graph of f(x)=–8(x+4)2+1 into the graph of g(x)=–8(x+9)2+8?
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Solution 1

The transformation that converts the graph of f(x) = -8(x+4)^2 + 1 into the graph of g(x) = -8(x+9)^2 + 8 is a horizontal shift to the left by 5 units and a vertical shift upwards by 7 units.

Here's the step-by-step explanation:

  1. The general form of a quadratic function is f(x) = a(x-h)^2 + k, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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