Math Module 2 (Hard) Question 14

The graph of $y=f(x+3)-5$ is shown. Which equation defines function $f$?
Answer:
B

Explanation

The correct answer is Choice B.

Determine the linear equation of the given graph. Then, apply the function transformation rules to find $f(x)$.

Choices A, C, and D are incorrect and may result from algebraic mistakes.

✨ Expert's Tip ✨

Given $y=f(x)$, substituting $x-a$ and $y-b$ into the function would translate the graph of the new function, $y=f(x-a)+b$, horizontally by $a$ units and vertically by $p$.

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