Math Problem Statement

What is the x-intercept of the quadratic function graphed here?

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 y=0y = 0.

From the graph, you can see that the parabola crosses the x-axis at the points:

  • x=2x = -2
  • x=2x = 2

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:

  1. How do you determine the x-intercepts of a quadratic function algebraically?
  2. What is the vertex of this parabola, and how is it related to the x-intercepts?
  3. Can a quadratic function have no x-intercepts? Under what conditions?
  4. How would you write the equation of this quadratic function in factored form?
  5. How does the shape of the parabola change when the coefficient of x2x^2 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