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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.

Graph each quadratic function using the steps from the picture. Based on the graph determine the domain and range of the quadratic function.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question

Graph each quadratic function using the steps from the picture. Based on the graph determine the domain and range of the quadratic function.  

39. G(x) = -9x² + 18x + 7 %3D
Transcribed Image Text:39. G(x) = -9x² + 18x + 7 %3D
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.
Expert Solution
Step 1

The given quadratic function

y=-9x2+18x+7

Since the coefficient of x2 is negative, therefore parabola opens downward

Arrange the x terms by completing the squares

 

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