Math Problem Statement
Using the graph, determine the coordinates of the zeros of the parabola.
Solution
The graph provided shows a parabola intersecting the x-axis at two points. These points are called the zeros or roots of the parabola, which represent the values of where .
In the graph, the parabola crosses the x-axis at the points:
Therefore, the coordinates of the zeros of the parabola are and .
Would you like a more detailed explanation of how to find zeros, or do you have any other questions?
Here are 5 related questions:
- What is the general form of a quadratic equation?
- How can you factor a quadratic equation to find its zeros?
- What is the vertex of a parabola, and how do you find it?
- How do the zeros relate to the factors of the quadratic expression?
- What is the axis of symmetry in a parabola?
Tip: The zeros of a parabola are the x-values where the graph intersects the x-axis, and they can be found by solving the quadratic equation .
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Parabolas
Formulas
Factoring of quadratic equations to find zeros
Solving y = ax^2 + bx + c = 0
Theorems
Zero Product Property
Suitable Grade Level
Grades 8-10