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MA 103 Section 8.6 I. Quadratic Functions and their GraphsGiven a quadratic function in the for my f (x) a(x h) 2 + k, The graph is always a parabola The vertex occurs at (h, k) The direction of opening
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How to fill out vertex form of quadratic
How to fill out vertex form of quadratic
01
To fill out the vertex form of a quadratic equation, follow these steps:
02
Start with a quadratic equation in standard form: y = ax^2 + bx + c.
03
Identify the values of a, b, and c in the equation.
04
Use the formula x = -b/2a to find the x-coordinate of the vertex.
05
Substitute the x-coordinate into the equation to find the y-coordinate of the vertex.
06
The vertex form of the quadratic equation is y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.
07
Substituting the values of h and k into the vertex form equation, you have the filled-out vertex form of the quadratic equation.
Who needs vertex form of quadratic?
01
The vertex form of a quadratic equation is useful for anyone who wants to analyze the properties of parabolas in a more simplified and efficient way.
02
Specifically, it is beneficial for mathematicians, engineers, physicists, and anyone working with quadratic functions in various fields of study or professions.
03
By utilizing the vertex form, one can easily determine the vertex of the parabola, the axis of symmetry, and other key information such as the minimum or maximum points and the direction of the parabola's opening.
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What is vertex form of quadratic?
The vertex form of a quadratic equation is given by y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.
Who is required to file vertex form of quadratic?
Students studying algebra or calculus may be required to work with and understand vertex form of quadratics.
How to fill out vertex form of quadratic?
To fill out vertex form of a quadratic equation, determine the values of a, h, and k. Then substitute them into the equation y = a(x-h)^2 + k.
What is the purpose of vertex form of quadratic?
The purpose of vertex form of a quadratic equation is to easily identify the vertex of the parabola and determine its behavior.
What information must be reported on vertex form of quadratic?
The vertex form of a quadratic equation must report the values of a, h, and k, which define the shape and location of the parabola.
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