Math Problem Statement
Using the graph, determine the coordinates of the zeros of the parabola.
Solution
To find the coordinates of the zeros (also called roots or x-intercepts) of the parabola shown in the graph, we need to identify where the curve intersects the x-axis.
In this graph, the parabola crosses the x-axis at two points:
- One on the left, approximately at
- The other on the right, approximately at
Thus, the coordinates of the zeros are:
Would you like more details or have any questions about how I determined this?
Here are 5 additional related questions:
- What does the vertex of a parabola represent?
- How can you determine if the parabola opens upwards or downwards?
- What is the equation of the axis of symmetry for this parabola?
- How can we find the exact roots of a quadratic function algebraically?
- What is the significance of the discriminant in finding the roots of a quadratic equation?
Tip: When identifying zeros from a graph, make sure to check where the graph exactly intersects the x-axis, as these are the points where .
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Math Problem Analysis
Mathematical Concepts
Parabola
Zeros of a Quadratic Function
Graph Interpretation
Formulas
Quadratic equation formula ax^2 + bx + c = 0
Theorems
Zeros of a function
Suitable Grade Level
Grades 8-10