# Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 243: 41

Refer to the blue graph below.

#### Work Step by Step

RECALL: The function $y=a\cdot f(x)$ involves a vertical stretch of the parent function $f(x)$ when $a \gt 1$. The function will involve a vertical compression when $0 \lt a \lt 1$. The parent function of the given function is $y=x^2$. The graph of the given function involves a vertical compression of the parent function $y=x^2$. Thus, to graph the given function: (1) Graph the parent function $y=x^2$ . (Refer to the red graph in the attached image below) (2) Multiply $\frac{1}{4}$ to each y-value of the parent function while keeping the value of the x-coordinate of each point. (Refer to the blue graph in the attached image above.)

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