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What is the standard form of function ?

f(x) = 4(x + 6)2 + 5

Substitute numerical values into the equation for a, b, and c.

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Respuesta :

The standard form of the function is [tex]4x^2+48x + 149[/tex]

The standard form of an equation

The standard quadratic equation is expressed as:

  • [tex]y = ax^2 + bx + c[/tex]

Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]

Expand the expression:

[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]

Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]

Learn more on standard form here: https://brainly.com/question/19169731