shamiya15 shamiya15
  • 03-02-2019
  • Mathematics
contestada

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4

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zagreb zagreb
  • 03-02-2019

Answer:    Reflected about y axis and vertically up by 4 .


Step-by-step explanation:

f(x) = x

for -f(x) it becomes  -f(x) = -x .................(1)   [ multiplying by -1 both sides ]

to find -f(x) +4  ,we add 4 both sides of equation (1)   ,we get

-f(x) +4 = -x +4 ............ (2)

therefore  on applying two transformation  [ first reflection about Y axis and translated 4 units upwards makes the function -x+4

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