Vertex of an absolute-value graph
Identify the vertex of an absolute-value graph in Grade 9 Algebra from the equation f(x) = a|x - h| + k. The vertex (h, k) is the turning point of the V-shape.
Key Concepts
Property The point on the graph where the graph changes direction is called the vertex. For $f(x) = a|x h| + k$, the vertex is at $(h, k)$. Explanation The vertex is the 'corner' of the V shape, its minimum or maximum point. It's the command center of your graph! Finding $(h, k)$ in the equation instantly tells you where this corner is, making graphing faster than using a table. Examples The function $f(x) = |x 4| + 1$ has its vertex at $(4, 1)$. The function $f(x) = 3|x + 2| 5$ has its vertex at $( 2, 5)$.
Common Questions
What is Vertex of an absolute-value graph in Grade 9 Algebra?
Property The point on the graph where the graph changes direction is called the vertex Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Vertex of an absolute-value graph problems step by step?
Explanation The vertex is the 'corner' of the V-shape, its minimum or maximum point Use this method consistently to avoid common errors.
What is a common mistake when studying Vertex of an absolute-value graph?
Finding in the equation instantly tells you where this corner is, making graphing faster than using a table Always check your work by substituting back into the original problem.