The graph y= |x| is shifted up by 7 units and to the left 8 units. what is the equation of the new graph?

in this question, we're trying to find the equation of the new graph.

We know that:

With the information above, we can solve the question.

When we shift something up, we would represent it as our "y" variable", due to the fact that it doesn't intervene with x or the x axis.

Your equation should currently look like this:

y= |x| + 7

We also know that the equation moves to the left 8 times.

This is related to the x axis, so we would change what's inside the absolute value.

We know that if is shifted left, we would add. Therefore, we would add 8 inside the absolute value.

Your equation should look like this:

y= |x + 8| + 7

Your final equation should be y= |x + 8| + 7