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© Boardworks Ltd of 5 Graphs of quadratic functions
© Boardworks Ltd of 5 Plotting graphs of quadratic functions Plot the graph of y = x 2 – 4 x + 2 for –1 < x < 5. We can plot the graph of a quadratic function using a table of values. For example: x x2x2 – 4 x + 2 y = x 2 – 4 x + 2 – – 4– 8– 12– 16– –1–2–127 y = ax 2 + bx + c (where a 0) A quadratic function in x can be written in the form:
© Boardworks Ltd of 5 x 1 01– y 2 Plotting graphs of quadratic functions x y = x 2 – 4 x + 2 – –2–127 The points given in the table are plotted … … and the points are then joined together with a smooth curve. The shape of this curve is called a parabola. It is characteristic of a quadratic function.
© Boardworks Ltd of 5 Parabolas When the coefficient of x 2 is positive the vertex is a minimum point and the graph is -shaped. When the coefficient of x 2 is negative the vertex is a maximum point and the graph is -shaped. Parabolas have a vertical axis of symmetry … …and a turning point called the vertex.
© Boardworks Ltd of 5 Graphs of the form y = ax 2 + bx + c
Lesson 10-1 Graphing Quadratic Equations. Definitions Quadratic Function - can be written in the form of y = ax 2 + bx + c, where a 0. Parabola - The.
© Boardworks Ltd of 14 Graphs parabolas by calculating strategic points.
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Quadratic Function has the form y=ax 2 +bx+c where a cannot be 0 and the graph is a “U-shaped” called a parabola. --ax 2 : quadratic term --bx:
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© Boardworks of 23 Quadratic functions. © Boardworks of 23 What is a quadratic function? Plot the graph of y = x 2 – 4 x + 2 for –1 ≤ x.
Quadratic function ◦ A function that can be written in the standard form ◦ ax 2 +bx+c ◦ a is never “0” ◦ Domain of the function is all real numbers.
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Quadratic Functions. The graph of any quadratic function is called a parabola. Parabolas are shaped like cups, as shown in the graph below. If the coefficient.
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© Boardworks Ltd of 50 © Boardworks Ltd of 50 AS-Level Maths: Core 1 for Edexcel C1.2 Algebra and functions 2 This icon indicates the slide.
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© Boardworks Ltd of 53 © Boardworks Ltd of 53 AS-Level Maths: Core 1 for Edexcel C1.4 Algebra and functions 4 This icon indicates the slide.
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