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<h3>Answer:</h3>
in this question, we're trying to find the equation of the new graph.
We know that:
- The current equation is y= |x|
- It is shifted up by 7 units
- Moves to the left by 8 units
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
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>