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Graphing a Quadratic Function Using Its Properties To graph any quadratic function of the form f(x) = ax + bx + c, a 0, use the following steps: %3D Step 1: Determine whether the parabola opens up or down. Step 2: Determine the vertex and axis of symmetry. Step 3: Determine the y-intercept, f(0) = C. Step 4: Determine the discriminant, b2 - 4ac. • If b? by solving f(x) = 0(ax + bx + c = 0). • If b? • If b2 4ac > 0, then the parabola has two x-intercepts, which are found 0, the vertex is the x-intercept. 4ac < 0, there are no x-intercepts. Step 5: Plot the vertex, y-intercept, and any x-intercept(s). Use the axis of 4ac symmetry to find an additional point. Draw the graph of the quadratic function.

Graphing a Quadratic Function Using Its Properties To graph any quadratic function of the form f(x) = ax + bx + c, a 0, use the following steps: %3D Step 1: Determine whether the parabola opens up or down. Step 2: Determine the vertex and axis of symmetry. Step 3: Determine the y-intercept, f(0) = C. Step 4: Determine the discriminant, b2 - 4ac. • If b? by solving f(x) = 0(ax + bx + c = 0). • If b? • If b2 4ac > 0, then the parabola has two x-intercepts, which are found 0, the vertex is the x-intercept. 4ac < 0, there are no x-intercepts. Step 5: Plot the vertex, y-intercept, and any x-intercept(s). Use the axis of 4ac symmetry to find an additional point. Draw the graph of the quadratic function.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 67E
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Graph each quadratic function using the steps from the picture. Based on the graph determine the domain and range of the quadratic function.  

Graphing a Quadratic Function Using Its Properties To graph any quadratic function of the form f(x) = ax + bx + c, a 0, use the following steps: %3D Step 1: Determine whether the parabola opens up or down. Step 2: Determine the vertex and axis of symmetry. Step 3: Determine the y-intercept, f(0) = C. Step 4: Determine the discriminant, b - 4ac. • If b? by solving f(x) = 0(ax + bx + c = 0). • If b2 • If b? - 4ac < 0, there are no x-intercepts. 4ac > 0, then the parabola has two x-intercepts, which are found 4ac = 0, the vertex is the x-intercept. Step 5: Plot the vertex, y-intercept, and any x-intercept(s). Use the axis of symmetry to find an additional point. Draw the graph of the quadratic function.
Transcribed Image Text:Graphing a Quadratic Function Using Its Properties To graph any quadratic function of the form f(x) = ax + bx + c, a 0, use the following steps: %3D Step 1: Determine whether the parabola opens up or down. Step 2: Determine the vertex and axis of symmetry. Step 3: Determine the y-intercept, f(0) = C. Step 4: Determine the discriminant, b - 4ac. • If b? by solving f(x) = 0(ax + bx + c = 0). • If b2 • If b? - 4ac < 0, there are no x-intercepts. 4ac > 0, then the parabola has two x-intercepts, which are found 4ac = 0, the vertex is the x-intercept. Step 5: Plot the vertex, y-intercept, and any x-intercept(s). Use the axis of symmetry to find an additional point. Draw the graph of the quadratic function.
27. F(x) = -x² + 2x + 8
Transcribed Image Text:27. F(x) = -x² + 2x + 8
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