Question

How do i solve this????? plz plz plz help!!!!!!

Answer 1

Hello there! I can help you! So, we would shift two units to the right, which means that we would subtract, and we go down 7 units, which would also make us subtract. For the original equation of y = x - 3, the line would only go down 3 units. The line of the original equation does not go left or right, because there are no absolute value signs between it. With the equation translation of 7 units, you would go down anouther 7 units, and 7 + 3 is 10. So the equation of the new line is y = |x - 2| - 10.
The original equation is where the line infinitely when up and down on a slanted line. In other words, it has no vertex. In the new equation, however, the graph has a vertex, and the lines go up from there. Both graphs have the same slope, except that for the left side of the new equation, the slope is -1, because the line goes down.