Graph y=3|x|
Problem
Solution
Identify the parent function as the absolute value function
y=|x| which has a characteristic "V" shape with the vertex at the origin(0,0) Determine the transformation, which is a vertical stretch by a factor of
3 because the parent function is multiplied by the constanta=3 Calculate the coordinates for the vertex by setting the expression inside the absolute value to zero, giving
x=0 andy=3*|0|=0 Find additional points to determine the slope of the two rays. For
x=1 y=3*|1|=3 Forx=−1 y=3*|−1|=3 Plot the vertex at
(0,0) and draw two rays extending through(1,3) and(−1,3) to form a narrow "V" shape.
Final Answer
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