Math Problem Statement

In order to solve for the "a" value of vertex form of a quadratic function given the vertex and a point, one should plug in which of the following? In order to solve for the "a" value of vertex form of a quadratic function given the vertex and a point, one should plug in which of the following?b c 4c x No answer text provided. k h -b/2a a y No answer text provided.

Solution

To solve for the "a" value in the vertex form of a quadratic function, the equation is typically written as:

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

Where:

  • (h,k)(h, k) is the vertex of the quadratic function
  • (x,y)(x, y) is a point on the parabola
  • aa is the value we need to solve for

Given this, in order to solve for aa, you need to plug in the values for:

  • hh (the x-coordinate of the vertex),
  • kk (the y-coordinate of the vertex),
  • xx (the x-coordinate of the given point), and
  • yy (the y-coordinate of the given point).

Therefore, the correct variables to plug in are:

  • hh
  • kk
  • xx
  • yy

Steps:

  1. Plug in xx and yy from the point on the parabola.
  2. Plug in hh and kk from the vertex.
  3. Solve for aa.

Would you like more details or examples?

5 Related Questions:

  1. How can you find the vertex form of a quadratic equation given three points?
  2. What is the difference between the vertex form and standard form of a quadratic function?
  3. Can you convert a quadratic equation from standard form to vertex form?
  4. How does the value of "a" affect the shape and direction of a parabola?
  5. What is the significance of the vertex in a quadratic function?

Tip:

When solving for the "a" value in vertex form, remember that the sign of "a" determines whether the parabola opens upwards or downwards (positive "a" for upward, negative for downward).

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Vertex Form

Formulas

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

Theorems

Properties of Quadratic Functions
Vertex Form of a Quadratic Equation

Suitable Grade Level

Grades 9-12