Write an equation for a function that has the graph with the shape of y = |x|, but shifted left 9 units and up 3 units.

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19-06-2022
Mathematics

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Write an equation for a function that has the graph with the shape of y = |x|, but shifted left 9 units and up 3 units.

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199932 199932 · Answer 1 · 2022-06-19T19:44:21+02:00

parent function is y = |x| , for horizontal translation the no. must be inside the absolute value , if it's negative we shift the graph to right and if it's positive we shift the graph to left .

For vertical translation the no. must be outside the absolute value and after it , if the no. is negative we shift the graph to down and if it's positive we shift the graph to up.

According to this rules :

9 units to left : y = |x+9|

3 units to up : y = |x|+3

so it will be y = |x+9|+3

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