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The graph of y = f(x) is shown on the grid.
Both graph M and N are translations of the graph y = f(x).
a) Write down the equation of graph M.
b) Write down the equation of graph N.

The Graph Of Y Fx Is Shown On The Grid Both Graph M And N Are Translations Of The Graph Y Fx A Write Down The Equation Of Graph M B Write Down The Equation Of G class=

Answer :

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Both M(x) and N(x) are translations of f(x), the equations are:

N(x) = f(x + 4).

M(x) = f(x) + 4.

How to find the equations for the translations?

Remember that for a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

  • If N > 0, the translation is upwards.
  • If N < 0, the translation is downwards.

And for a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

  • If N > 0, the translation is to the left.
  • If N < 0, the translation is to the right.

First, we can see that N is a translation of 4 units to the left, then:

N(x) = f(x + 4).

And M is a translation upwards of 4 units, then:

M(x) = f(x) + 4.

If you want to learn more about translations:

https://brainly.com/question/24850937

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