Question

Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|

Answer 1

f(x)=7{x} dghjjfdfhthtgehhdghdhfhethreh

Answer 2

Translation involves changing the position of a function.

The equation that represents the new function is: $\mathbf{g'(x) = |x| - 7}$

The parent function is given as:

$\mathbf{g(x) = |x|}$

The rule of translating a function down is:

$\mathbf{(x,y) \to (x,y-h)}$

Where: h is  the number of units translated down

i.e. h = 7

So, we have:

$\mathbf{g'(x) = g(x) - h}$

Substitute $\mathbf{g(x) = |x|}$

$\mathbf{g'(x) = |x| - h}$

Substitute 7 for h

$\mathbf{g'(x) = |x| - 7}$

Hence, the required function is: $\mathbf{g'(x) = |x| - 7}$

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