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MBF3C: Mathematics of Personal Finance Day 1: Modeling Quadratic RelationsDate: Unit 4: Quadratics Modelling Quadratic Relations ACTIVITY Plot the points and draw the graph for each of the relations
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01
To fill out a modeling form for a quadratic relation, follow these steps:
02
Identify the quadratic equation you are trying to model. It should be in the form of y = ax^2 + bx + c.
03
Determine the values of coefficients a, b, and c. These coefficients represent the constants in the quadratic equation.
04
Plot the vertex of the quadratic equation. The vertex can be found using the formula -b/2a.
05
Determine the direction of the parabola. If the coefficient a is positive, the parabola opens upwards; if a is negative, it opens downwards.
06
Find the y-intercept of the quadratic equation by substituting x=0 into the equation.
07
Determine the x-intercepts (also known as roots or zeros) of the quadratic equation by setting y=0 and solving for x using factoring, completing the square, or using the quadratic formula.
08
Use the information gathered to plot additional points on the graph of the quadratic equation.
09
Connect the plotted points to form a smooth curve, representing the parabola.
10
Label the x and y axes with appropriate scale and units.
11
Provide a title for the graph and any additional necessary information.
12
Review and double-check your work to ensure accuracy and completeness.

Who needs modeling form quadratic relation?

01
The modeling form for a quadratic relation is needed by mathematicians, statisticians, scientists, engineers, and students studying algebra and calculus. It is used to represent and analyze real-world phenomena that can be modeled by quadratic equations, such as projectile motion, population growth, optimization problems, and more.
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It is a form used to represent a quadratic relationship between variables.
Individuals or organizations conducting quadratic modeling analysis.
Fill in the variables and coefficients to represent the quadratic relationship.
To analyze and represent quadratic relationships in data.
Variables, coefficients, and the quadratic equation.
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