Math Problem Statement

I thought the vertex is at 2,1

Solution

If you're referring to a quadratic equation or a parabola, the vertex is indeed a crucial point. The vertex form of a quadratic function is generally written as:

y=a(xh)2+ky = a(x-h)^2 + k

In this form, (h,k)(h, k) represents the vertex of the parabola. If you believe the vertex is at (2,1)(2, 1), that would suggest the equation is in the form:

y=a(x2)2+1y = a(x - 2)^2 + 1

Here, h=2h = 2 and k=1k = 1, so the vertex is located at (2,1)(2, 1).

If you have a different equation or specific values that need checking, please provide them, and I can confirm or adjust this based on the given function.

Would you like further clarification or more details?

Related Questions:

  1. How do you convert a quadratic equation into vertex form?
  2. What is the significance of the vertex in a parabola's graph?
  3. How do you find the vertex from the standard form of a quadratic equation?
  4. Can you explain how the value of aa affects the direction of a parabola?
  5. How can you determine if a vertex is a maximum or minimum?

Tip: In the vertex form of a quadratic function, aa determines the "width" and direction of the parabola.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Parabolas
Vertex Form

Formulas

Vertex form of a quadratic equation: y = a(x-h)^2 + k

Theorems

Parabola Vertex Theorem

Suitable Grade Level

Grades 9-12