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Sketches Of Some Important Graphs

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More Lessons for Geometry
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In this lesson, we will learn

  • how to graph functions of the form y = axn + c
  • how to sketch some basic or common graphs.
The following are sketches of the graphs of the functions in the form y = axn + c , where n = –2, –1, 1, 2 and 3.

Take note of their general shapes and positions in relation to the x-axis and y-axis.

basic graphs

sketch graphs

These are some basic graphs that every algebra student should know.

1. y = mx + b (Linear Function)
2. y = x2 (parabola)
3. y = xn
4. y = absolute value of x
5. y = square root of x
6. y =
7. y =
8. y = logb(x), where b > 1
9. y = ax

This video shows the graphs for the following functions:

1. f(x) = x
2. f(x) = x2
3. f(x) = x3
4. f(x) = square root of x
5. f(x) = cube root of x
6. f(x) = absolute value of x

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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