Math  /  Algebra

Question9) Perform the following transformations of h(x)=1x2h(x)=\frac{1}{x^{2}} (write your resulting equation in every step below): a) Shift h(x)h(x) up 3 units. b) Shift the result of a) left 2 units. c) Reflect the result of b) about the xx-axis. d) Reflect the result of c) about the yy-axis. 10) Perform the transformations of Problem 9 applied to the functions f(x)=e2xf(x)=e^{2 x} and g(x)=lnxg(x)=\ln x. Sketch the resulting graphs.

Studdy Solution
Sketch the resulting graphs for each function.
- For h(x) h(x) : Sketch the graph of 1(x+2)23 -\frac{1}{(-x+2)^2} - 3 . - For f(x) f(x) : Sketch the graph of e42x3 -e^{4 - 2x} - 3 . - For g(x) g(x) : Sketch the graph of ln(x+2)3 -\ln(-x+2) - 3 .

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