Problem 62
Question
What must be done to a function's equation so that its graph is reflected about the \(y\) -axis?
Step-by-Step Solution
Verified Answer
To reflect a function's graph about the y-axis, one must replace every \(x\) in the equation of the function with \(-x\).
1Step 1: Identify the Function
First, identify the given function in the exercise. This function will be transformed.
2Step 2: Understand the Transformation
A reflection about the y-axis means that for each point (x, y) on the original function, there will be a corresponding point (-x, y) on the reflected function.
3Step 3: Apply the Transformation
Apply the transformation to the original function. Replace each \(x\) in the equation with \(-x\). The function with \(x\) replaced by \(-x\) will be the function reflected about the y-axis.
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