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What are the different forms of a quadratic function and what do the variables represent?

User Johntron
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Answer:

The three different forms of a quadratic function are:

  • Expanded form
  • Factored form
  • Standard form

Explanation:

The three different forms of a quadratic function are:

  • Expanded form
  • Factored form
  • Standard form

Expanded form, a sum of terms, each of which may be a product of a constant and some variables:

y=ax^2+bx+c

The parameter c is the y-intercept, while the parameter b is the slope and a determines the vertical stretching of the graph

Factored form, the product of a constant and two linear terms:

a.(x-p).(x-q)

The parameters p and q are the roots of the function and a determines the vertical stretching of the graph

Standard form, the sum of a constant term, k and a constant, a times the square of a linear term.

a.(x-h)^2+k

The vertex of the graph is located at the point (h, k) and a determines the vertical stretching of the graph...

User Adam Siemion
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