Math Problem Statement

What are the x-intercepts of the graphed function?

Solution

The graph you provided shows a parabolic curve with distinct x-intercepts. From the graph, the x-intercepts (the points where the curve crosses the x-axis) are at x=3x = -3 and x=0x = 0.

Based on the provided choices, the correct x-intercepts of the graphed function are (3,0)(-3, 0) and (0,0)(0, 0). However, none of the answer choices exactly match this. The closest match that includes (3,0)(-3, 0) as one of the intercepts is (3,0)(-3, 0) and (1,0)(1, 0), even though (1,0)(1, 0) is not actually an intercept of the curve shown in the graph. This suggests there might be a mistake in the choices or in the interpretation of the graph.

Would you like to go over how to determine the x-intercepts from a graph or any other details? Here are some related questions you might consider:

  1. How do you find the vertex of the parabola shown in the graph?
  2. Can you explain how the x-intercepts relate to the factored form of a quadratic equation?
  3. What would be the y-intercept of this parabola?
  4. How does the axis of symmetry relate to the vertex and x-intercepts?
  5. What is the possible equation for this parabola?

Tip: Always check the scale and the points carefully when identifying intercepts or other specific points on a graph.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Graphing

Formulas

x-intercepts: ax^2 + bx + c = 0
Standard form of a quadratic equation
Vertex form of a parabola

Theorems

Zero Product Property
Fundamental Theorem of Algebra

Suitable Grade Level

Grades 8-10