Question

The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) • B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(z) into g(x) where the transformation is g(x) = -f(x) The function f(s) is shown below in red. Graph the transformed function g(x) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.) 6+ 5 4 اندا 2 1 6 5 4 3 2 1 4 5 - -2 -5 Clear All Draw: Dot Line Segment

Answer 1

soll Geren that the transformation of fin) into grn fon gcn = Matching with gsm2 = AFC326 +H) +k gon. 960) = -f(n) A = -1, 3 = 1 1 H=0 iK= Henie by - 1. i-e A = -1 A reflection about >> Horizontal (ie. a as it is). vertical scale of fino 2- anis. scale of fim. & by 1 H=OEK = 0 vertical & hozio horizontal shifts Hence the graph of goma - f(n) is given by 3 2117= 2 (2,1) 2 3 3