The graphs and their functions/equations are all illustrations of quadratic functions.
What are the zeros of a function?
The zeros of a function of a graph are the points where the line or curve of the graph crosses the x-axis
What is the axis of symmetry?
The axis of symmetry of a graph is the line that divides the graph into equal halves
What is the vertex of a function?
The vertex of a function is the minimum or the maximum point on the graph
The vertex of a quadratic function is minimum if it opens upward, otherwise the vertex is maximum
Using the above definitions, the solutions to the worksheet are:
Graph 1
- Zeros: -4 and 0
- Axis of symmetry: x = -2
- Min or Max: Maximum
- Vertex: (-2, 4)
Graph 2
- Zeros: 2
- Axis of symmetry: x = -2
- Min or Max: Minimum
- Vertex: (-2, 0)
Graph 3
- Zeros: -3 and 3
- Axis of symmetry: x = 0
- Min or Max = Minimum
- Vertex: (0, -9)
Graph 4
- Zeros: -5 and -3
- Axis of symmetry: x = -4
- Min or Max = Maximum
- Vertex: (-4, -1)
Graph 5
- Zeros: 3 and 7
- Axis of symmetry: x = 5
- Min or Max = Minimum
- Vertex: (5, -4)
Graph 6
- Zeros: None
- Axis of symmetry: x = 24
- Min or Max = Minimum
- Vertex: (2, 5)
Graph 7
- Zeros: 1 and 5
- Axis of symmetry: x = 3
- Min or Max = Minimum
- Vertex: (3, -4)
Graph 8
- Zeros: -2 and 0
- Axis of symmetry: x = -1
- Min or Max = Maximum
- Vertex: (-1, 1)
Graph 9
- Zeros: 5
- Axis of symmetry: x = 5
- Min or Max = Minimum
- Vertex: (5, 0)
Read more about quadratic functions at:
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