Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.
1 answer:
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Explanation:
It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units
Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red
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Given:
To find:
The quadrant in which lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only and
are positive.
In Quadrant III, only and
are positive.
In Quadrant IV, only and
are positive.
We have,
Here, is negative and
is also negative. It is possible, if
lies in the Quadrant IV.
Therefore, the correct option is D.