Math Problem Statement

can you graph this it for me

Solution

Here is the graph of the equation y=17(x7)(x+7)y = -\frac{1}{7}(x-7)(x+7). The parabola opens downwards, and the roots are at x=7x = 7 and x=7x = -7.

Would you like more details or have any questions?

Here are some questions you might consider asking:

  1. How do you find the vertex of this parabola?
  2. Can you show the steps to derive the equation from the factored form?
  3. What are the axis of symmetry and the vertex coordinates for this parabola?
  4. How do the coefficients affect the shape and orientation of the parabola?
  5. Can you explain the process of graphing a quadratic equation step-by-step?

Tip: When graphing quadratic equations, always identify the roots, vertex, and axis of symmetry to help sketch the graph accurately.

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Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Parabolas
Vertex of a Parabola
Axis of Symmetry

Formulas

Quadratic equation formula ax^2 + bx + c = 0

Theorems

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Suitable Grade Level

Grades 9-12