Question

Make sure your writing explains how you got your answers. Correct answers with incorrect explanations will not receive full credit. Simplify all answers and reduce any fractions. Do not mix fractions and decimals in the same expression. 1. The graph of h(x) is given. a. (4 pts) The mother function is _ b. (6 pts) What transformations were applied to the mother function to get h(x)? -70 -9 - 7 5 4 -3 -2 -1 of N c. (6 pts) What is the formula for h(x)? 2. (12 points) The function f(x) satisfies the following. Draw the graph on the axis provided. Include asymptotes as dotted lines. Removable singularities (holes): x = -2 x-intercepts (zeros): x = 3 Horizontal asymptote: None Oblique asymptote: y = x - 2 Vertical asymptotes: x = 4 f(x) +-oo as x 4- f(x) +00 as x 4+ -10

Answer 1

(a) The graph hay is rectangular hyperbola r . The mother fumetion is ayat (b) The graph of the mother fimetion is first flipped about x-axis and then the origin is stop shifted to F6,-4) (e) The transformed egr after flipping about x-axis if xy= t s The transformed egn B after shifting origim is (X+6 Y+4) = 4 x 4 = -4 - 1146 in formula for h(x) = -12- 25 2) the graph of the function satisfying the following i Remorable Singularity at a=-2 Oblique asymptote y=x-2 at x=3 x-intercept l vertical asymptote at x=4

fo fo -0 al 28 x 4 o ad aeqt is given by

5 4 3 2 ہ-2-2- 2 3 11- سر