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Introduction
Introduction
In order to sketch a quadratic graph, we need to be able to:
In order to sketch a quadratic graph, we need to be able to:
- Know the parts of the quadratic graph.
- Determine the Shape of the graph.
- Find the critical points (Intercepts and Turning point) and state the Line of symmetry.
- Plot a smooth curve through the critical points.
- Label the Axis, Origin and Equation of the graph.
- Parts of a Quadratic Graph
2. Shape
2. Shape
There are two types of quadratic graphs:
There are two types of quadratic graphs:
3. Critical Points & Line of Symmetry
3. Critical Points & Line of Symmetry
There are 4 critical points that needs to be labelled in a quadratic graph:
There are 4 critical points that needs to be labelled in a quadratic graph:
- The 2 x-intercepts (if they exist): Where the graph intersects the x-axis (y = 0).
- The y-intercept: Where the graph intersects the y-axis (x = 0).
- The Turning Point (Vertex): Where the gradient changes from upwards to downwards or vice-versa.
Detail steps can be found in the flow-chart below.
Detail steps can be found in the flow-chart below.
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