Question

If the graph of y = |x| is translated so that the point (1, 1) is moved to (4, 1), what is the equation of the new graph?

Answer 1

Where would the vertex end up then?

Answer 2

Idk

Answer 3

Look at the graph of y=|x|
locate the vertex, and imagine that if the point (1,1), which is on the graph were to go to (4,1), where would the vertex end up?

Answer 4

The new equation will be affected by how the vertex moves to the new location.

Answer 5

would it be y = |x + 3|?

Answer 6

Close. This is an easy thing to mix up if you don't see how y is responding to x.

Answer 7

If y is waiting until x gets to 3 before it starts going up, then y is treating x as if x is smaller by 3. Does that make sense?

Answer 8

And if you want to check your guess, go ahead and plot points to see what happens.