In one of the previous articles, we learnt about how to graph quadratic functions using table of values.
In this article, we will learn graphing quadratic functions using vertex, axis of symmetry and y-intercept. This process is lot more easier and can lead to graph in lesser time. I would recommend you to go through the article
Axis of symmetry of quadratic functions, vertex and y-intercept before we go further in this article.
Suppose we want to draw graph of
,
- We know that vertex (p, q) of this quadratic function is located at (1,2).
- y-intercept of this function can be found by putting x=0, we get
- We also know that quadratic functions are symmetric in nature. Axis of symmetry is a vertical line which divides quadratic function into two equal parts. If point (0, 5) lie on the graph
- Using these 3 set of points (1, 2), (0, 5) and (2, 5), we can easily graph quadratic function.
If we want to draw graph of
which is a standard form of quadratic function.
- Vertex of such a function
- y-intercept of this function can be found by putting x=0, we get
- We also know that quadratic functions are symmetric in nature. Axis of symmetry is a vertical line which divides quadratic function into two equal parts. If point (0, 3) lie on the graph
- Using these 3 set of points (-2, -1), (0, 3) and (-4, 3), we can draw graph of function
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