Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.
Read scales from the displayed A f(Bx) form
Problem
Express \(3\sqrt{x}\) as \(A~f(\text{Bx})\). State \(A\) and \(B\), describe the vertical and horizontal effects, and give the point map.
Big Picture
What this problem is really about
In the form A times f of B x, position determines which coordinate changes. The outside factor multiplies outputs, while the inside factor changes horizontal distances by its reciprocal. Write the general point map first and apply it to a familiar parent point; the coordinate that stays fixed reveals whether any scaling occurs in that direction.
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