Graphing an Absolute Value Equation
MathematicsFunctionsEasy
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Question
8) $$y = |x - 1| - 3$$
Animated Video Solution
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Step by Step Written Solution
1
Step 1
Hi Naomi, let's graph this absolute value equation step by step.
Graphing $y = |x - 1| - 3$
2
Step 2
A general absolute value function is written as y equals a times the absolute value of x minus h, plus k. Direct comparison shows our values for h and k.
$$y = a|x - h| + k$$
$$a=1, \quad h=1, \quad k=-3$$
3
Step 3
In this form, the vertex of the function is at the point h comma k.
$$V(h, k) = (1, -3)$$
4
Step 4
Now, let's set up a coordinate plane and plot our vertex at one comma negative three.
Coordinate Geometry
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