Question

please step by step with explanation help with #1,3,10,11,20,23,29,32a

1. Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of f as follows. a. Shift 3 units upward. Answer + b. Shift 3 units downward. Answer c. Shift 3 units to the right. Answer + d. Shift 3 units to the left. Answer e. Reflect about the z-axis. Answer

$20. 9= |2| - 2 21. y= |– 2 Answer 22. y = {tan (- 6) 23. y=\v – 11$

Answer 1

31 32 *) (*) – 234 237 g(x)=3x?! (a) ftg = f(x) + g(x) = x+ 2 x ² + 3 x²-1 - (1) f-g = f(x)-g(x) = x² + 2x - 3x + 1 [ter] *-*+1 (2) fg = f (x)-9 (2) - (x3 + 2 x ²) (38²1) - 3x = x² + 6xl 2x f/9 = f(x)/g(x) = x²+2 12 3221 - [xER] *CR-{} 32) f (x) - Jox g(x) - J x² + aftg= f(x) + g(x) = 5x² 1 + 3 PORGRE Xe negative real number of bf-9= f(x) g(x) = 5x² + 14 x 42,34 afg- f(x-g(x) - Son 33 - x3 + x 2) / f("% cm) - 1 1 - 1 RB

a) f(x) = y f(x+3)=yo b) f(x-3) = 4 a) f(x) = y +3 d) f(x) = 9-3 fa a) f(x) = -9 f) f(-x) = 4 9) f(3x) = 7 e) f(1/₂) = 7 (c) y = 18(1) because it is shrinked by 3 y=+60 +370 because it is netrased up and by a) y = -f(x.14) because it is stifted towards left