Math Problem Statement
Solution
The given equation is:
This represents an absolute value function that is flipped vertically due to the negative sign. The vertex of this function is at , which means the graph should have its lowest point at and open downward.
However, the provided graph shows an absolute value function opening upwards, which corresponds to rather than . This indicates that the graph is incorrect for the given equation.
Would you like a detailed explanation on how to correctly plot this function? Here are five follow-up questions to deepen your understanding:
- How do transformations affect the graph of an absolute value function?
- What is the effect of a negative sign in front of the absolute value function?
- How can we determine the vertex of an absolute value function?
- How can we verify if a given graph matches an equation?
- What is the domain and range of the function ?
Tip: The vertex of an absolute value function is always at .
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Math Problem Analysis
Mathematical Concepts
Absolute Value Functions
Transformations
Graphing Equations
Formulas
y = a|x - h| + k
Theorems
Transformation Theorem for Absolute Value Functions
Suitable Grade Level
Grades 8-10
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