Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.

The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4).  Just connect the dots to make the triangle.

Let me know if anything did not make sense.  

Step-by-step explanation:

Reflect just means how far away is each point to the line of reflection?  then ake a new point the sae distance, but in the opposite direction.  You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.

So the three points are A:(3,1), B:(5,1) and C:(3,4)

Now use a horizontal line to measure how far A, B and C are from x=2.

A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left.  so (3,1) becomes (1,1)  The y value does not change since you are only using the horizontal direction for reflection.  B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)

Now the second reflection is the exact same process, but witht he new points reflected across x = -3.  So the new points are (-7,1) (-5,1) and (-7,4).