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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which of the following equations is the translation 2 units left of the graph of y = |x|?
y = |x| - 2
y = |x - 2|
y = |x + 2|
None of the above
Solution:
The function given is
y = |x|
As it is an absolute function, its transformation is
y = |x + a| + b
Where a is the horizontal shift and b is the vertical shift
The graph shifts a units left if a > 0
The graph shifts a units right if a < 0
The graph shifts b units up if b > 0
The graph shifts b units down if b < 0
Given - The graph translate 2 units left
Here a is 2 and b is 0
The function required is
y = |x + 2| + 0
y = |x + 2|
Therefore, the equation is y = |x + 2|.
Which of the following equations is the translation 2 units left of the graph of y = |x|?
Summary:
y = |x + 2| is the translation 2 units left of the graph of y = |x|.
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