Math Problem Statement
Solution
Let's analyze the problem step by step based on the image of the parabola:
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Does the parabola open upward or downward?
From the graph, the parabola opens downward because its arms are facing downwards. -
Find the intercepts:
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x-intercept(s):
The x-intercepts occur where the parabola crosses the x-axis. From the graph, it crosses at . -
y-intercept(s):
The y-intercept occurs where the parabola crosses the y-axis. From the graph, it crosses at .
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Find the coordinates of the vertex: The vertex is the highest point of the parabola since it opens downward. From the graph, the vertex is located at the point .
Here is the
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Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Parabolas
Vertex
Intercepts
Formulas
Standard form of quadratic equation: y = ax^2 + bx + c
Vertex formula: (-b / 2a, f(-b / 2a))
Theorems
Vertex Theorem
X-Intercept and Y-Intercept properties
Suitable Grade Level
Grades 8-10
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