158k views
5 votes
What is the horizontal shift for the absolute value function f(x)=3 |x+6| +9

1 Answer

7 votes

Answer:

Left shift, 6 units

Explanation:

In the equation:

f(x)=3 |x+6| +9

the " +6 " in close to the x represents the horizontal shift. X always tells us about horizontal or right/left moves. So an adjustment to the x is a horizontal adjustment.

But Caution! It is the opposite of what you might think. A PLUS6 is a LEFT shift. (While a MINUS6 would be a right shift, not the case here).

The parent function is:

f(x) = |x|

So our equation:

f(x)=3 |x+6| +9

has two changes made to it. LEFT6 because of the

" +6 " by the x. And the +9 tacked onto the end of the equation is a vertical shift UP9.

User Miroslav
by
7.6k points