SOLUTION: Which equation is translated 2 units to the left and 1 unit up to END with the equation y=|3x-9|?

Algebra.Com
Question 660590: Which equation is translated 2 units to the left and 1 unit up to END with the equation
y=|3x-9|?

Answer by math-vortex(648)   (Show Source): You can put this solution on YOUR website!
Hi, there--

You can solve this problem by working backwards, undoing both transformations by doing 
the opposite.

Start with y=|3x-9|

The second transformation was "1 unit up." We'll translate our equation "1 unit down." 
Subtracting 1 outside the absolute value sign will translate the graph 1 unit down.
y = |3x-9| -1

The first transformation was "2 units to the left." We can undo this one by translating "2 
units to the right." Subtracting 2 from x translates a function 2 units to the right.
y = |3(x-2)-9| - 1

Now we are back at the original function. We can leave it this way, but typically we would 
simplify the expression inside the absolute value symbols.
y = |3x-6-9| - 1
y = |3x-15|-1

There you go!
Mrs. Figgy

RELATED QUESTIONS

The graph of xsquare unit +y square unit =9 is translated 4 units to hte right and 5... (answered by consc198)
what is the equation of y^2= 1/5x when translated up 3 units and left 2... (answered by lwsshak3)
The quadratic parent function is translated 2 units left and 1 unit up. What is the new... (answered by robertb)
Write an equation of the graph y=sin(2x)+1 translated down 2 units and left 1... (answered by FrankM)
What is the equation of a circle that is congruent to the circle (x-3)^2 + (y+9)^2=1 but... (answered by stanbon)
The graph of y=x is translated up 3 units and left 2 units. What is the equation of the... (answered by stanbon)
Write the absolute value equation that has a vertical reflection, shrunk horizontally by... (answered by CPhill)
Consider a parabola P that is congruent (has the same shape) to , opens upward, and has... (answered by ikleyn)
What is the equation of the new parabola if the graph of y = −3x2 is translated 7... (answered by josmiceli)