Math Problem Statement
Solution
The question asks for the x-intercepts of the quadratic function based on the graph.
The x-intercepts are the points where the graph crosses the x-axis, which occur when the .
From the graph, you can see that the parabola crosses the x-axis at the points:
So, the correct answer is x = -2 and x = 2.
Since the question is asking for a specific choice and only one x-intercept is listed, the correct option should be 2.
Would you like further details, or do you have any other questions?
Here are 5 related questions you could explore:
- How do you determine the x-intercepts of a quadratic function algebraically?
- What is the vertex of this parabola, and how is it related to the x-intercepts?
- Can a quadratic function have no x-intercepts? Under what conditions?
- How would you write the equation of this quadratic function in factored form?
- How does the shape of the parabola change when the coefficient of changes?
Tip: The x-intercepts are also known as the "roots" or "zeros" of the quadratic equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Graphing
Formulas
Standard form of quadratic function: y = ax^2 + bx + c
Theorems
Quadratic Equation Theorem
Suitable Grade Level
Grades 7-9