A. Graph the following quadratic functions manually b sheet of graphing paper. 1. Axis of symmetry: x= 3 %3D Vertex: (3,-2); minimum Zeros: 2 and 4 22 Dynamic Minds: A Math Workbook 9

Algebra and Trigonometry (6th Edition)
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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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form Ax) = a(x – h)² + k since the vertex (h, k) can be
seen in the equation. Since a point is not enough to graph the function, you may find the x- and
y-intercepts to be able to graph the parabola or set a table of values to get other points aside from
the vertex. It is also important to take note of the value of a in the equation to determine whether
the graph opens upward or downward.
Notice the change in the graph of the function flx) = a(x – h)² + k from the graph of Ax) = ax
whose vertex of the parabola is at (0, 0). When quadratic functions are written in their vertex form,
the vertex is at (h, k) and the axis of symmetry is x = h. The value of h represents the horizontal
shift (left or right) of the parabola from x = 0, and the value of k represents the vertical shift (up
or down) of the parabola from y = 0. Knowing these properties of the equation makes it easier to
describe and graph the given quadratic function.
"The devil is in the details" is a saying that highlights being keen to specifics. Formulating
the goal and focusing on it are necessary but it is equally important to be aware of the details.
Flexibility to changes and presence of mind are keys to manage every detail.
%3D
%3D
%3D
%3D
%3D
Take the Written Assignments
A. Graph the following quadratic functions manually based on the given properties on a separate
sheet of graphing paper.
Axis of symmetry:
1.
x= 3
Vertex:
(3,-2); minimum
Zeros:
2 and 4
22
Dynamic Minds: A Math Workbook 9
Transcribed Image Text:form Ax) = a(x – h)² + k since the vertex (h, k) can be seen in the equation. Since a point is not enough to graph the function, you may find the x- and y-intercepts to be able to graph the parabola or set a table of values to get other points aside from the vertex. It is also important to take note of the value of a in the equation to determine whether the graph opens upward or downward. Notice the change in the graph of the function flx) = a(x – h)² + k from the graph of Ax) = ax whose vertex of the parabola is at (0, 0). When quadratic functions are written in their vertex form, the vertex is at (h, k) and the axis of symmetry is x = h. The value of h represents the horizontal shift (left or right) of the parabola from x = 0, and the value of k represents the vertical shift (up or down) of the parabola from y = 0. Knowing these properties of the equation makes it easier to describe and graph the given quadratic function. "The devil is in the details" is a saying that highlights being keen to specifics. Formulating the goal and focusing on it are necessary but it is equally important to be aware of the details. Flexibility to changes and presence of mind are keys to manage every detail. %3D %3D %3D %3D %3D Take the Written Assignments A. Graph the following quadratic functions manually based on the given properties on a separate sheet of graphing paper. Axis of symmetry: 1. x= 3 Vertex: (3,-2); minimum Zeros: 2 and 4 22 Dynamic Minds: A Math Workbook 9
Domain:
x ER
Range: {ly2-2
y-intercept:
x-intercept:
Vertex:
(0,3)
(-3,0) and (1, 0)
(-1, 4)
Aric of cunmt
2.
Transcribed Image Text:Domain: x ER Range: {ly2-2 y-intercept: x-intercept: Vertex: (0,3) (-3,0) and (1, 0) (-1, 4) Aric of cunmt 2.
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