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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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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.  

37. F(x)
4x² - 4x - 3
Transcribed Image Text:37. F(x) 4x² - 4x - 3
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.
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