Math Problem Statement
Write the equation of the parabola shown in the graph. Write your answer in the form y=a(x–p)(x–q), where a, p, and q are integers, decimals, or simplified fractions.
Solution
To write the equation of a parabola in the form , we need to identify the following components from the graph:
- The x-intercepts (roots): These are the points where the parabola crosses the x-axis. These values will correspond to and .
- The coefficient : This controls the direction and width of the parabola. If the parabola opens upward, will be positive, and if it opens downward, will be negative.
Please upload the graph of the parabola so I can help you identify these components and write the equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Parabolas
Factoring
Formulas
y = a(x - p)(x - q)
Theorems
Factoring of quadratics
Roots of quadratic equations
Suitable Grade Level
Grades 9-12
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