Math Problem Statement

Using the graph, determine the coordinates of the zeros of the parabola.

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 xx where y=0y = 0.

In the graph, the parabola crosses the x-axis at the points:

  • (4,0)(-4, 0)
  • (6,0)(6, 0)

Therefore, the coordinates of the zeros of the parabola are (4,0)(-4, 0) and (6,0)(6, 0).

Would you like a more detailed explanation of how to find zeros, or do you have any other questions?

Here are 5 related questions:

  1. What is the general form of a quadratic equation?
  2. How can you factor a quadratic equation to find its zeros?
  3. What is the vertex of a parabola, and how do you find it?
  4. How do the zeros relate to the factors of the quadratic expression?
  5. 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 ax2+bx+c=0ax^2 + bx + c = 0.

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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