irfaanhussein94
irfaanhussein94 irfaanhussein94
  • 22-08-2022
  • Mathematics
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Given the parent function f(x)=-4x+7, write the equation of the new function when f(x) is shifted up 4 units then reflected across the y-axis.

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jdoe0001 jdoe0001
  • 23-08-2022

Check the template in the picture below.

[tex]f(x)=-4x+7\hspace{5em} \begin{array}{ccccccccllllllll} &A&B&&C&D \\ f(x)=&-4(&1&x&+0)&+7\\ shifted&&-1&&&+4\\ &-4(&-1&x&+0)&+11 \end{array}\\\\ ~\hspace{17em}-4(-x)+11\\\\ ~\hspace{14em}f(x) = 4x+11[/tex]

notice, for the reflection across the y-axis we simply make B negative, and for the shift we simply add 4 to D.

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