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Name Date MASTERING ALGEBRA I: Course 2 MODULE 3: Quadratic Functions & Equations UNIT 1: Graphing Quadratic Functions & Equations Graphing Parabolas As you work through the tutorial, complete the

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How to fill out graphing parabolas

How to fill out graphing parabolas:

01

Start by identifying the standard form of the equation of a parabola, which is given by y = ax^2 + bx + c. The values of a, b, and c will determine the shape and position of the parabola.

02

Plot the vertex of the parabola, which can be determined by finding the x-coordinate using the formula x = -b/2a. The y-coordinate can be obtained by substituting the x-coordinate back into the equation.

03

Select a few more points on the graph by choosing various x-values and finding the corresponding y-values using the equation.

04

Plot the additional points on the graph and connect them with a smooth curve to complete the parabola.

05

Label the vertex and any other significant points on the graph, such as the x-intercepts or y-intercept, if applicable.

06

If necessary, extend the graph beyond the plotted points to show the behavior of the parabola.

Who needs graphing parabolas:

01

Math students studying algebra, calculus, or any topic related to quadratic functions will need to learn how to graph parabolas. It is an essential skill in understanding the behavior and properties of these curved functions.

02

Engineers and scientists often use parabolic graphs to model real-world phenomena. They may need to graph parabolas to analyze data, make predictions, or find optimal solutions.

03

Architects and designers may use parabolic graphs to create aesthetically pleasing structures or objects. By understanding how parabolas can be applied in design, they can create visually appealing and structurally sound products.

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