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  • 14-10-2021
  • Mathematics
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Given the graph of the function y=f(x) below, draw the graph of y=f(1/2x)

Given the graph of the function yfx below draw the graph of yf12x class=

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lynnkc2000 lynnkc2000
  • 14-10-2021

Answer:

answer below

Step-by-step explanation:

parabola vertex (h,k): (-1 , 1), pass (0 , -1)

equation: y = a(x-h)² + k

-1 = a (0 - -1)² + 1

a = -2

equation: f(x) = -2(x+1)² + 1

f(1/2 x) = -2(1/2 x + 1)² + 1 ..... horizontal stretch by factor 1/2, (x , y) -> (2x , y)

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