Quadratic Standard Form Math Example 2

Follow the full solution, then compare it with the other examples linked below.

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Convert

y = -(x-2)^2 + 5

to standard form.

Answer

y = -x^2 + 4x + 1

To convert from vertex form to standard form, expand the squared binomial, distribute the leading coefficient, and combine like terms.

About Quadratic Standard Form

The standard form of a quadratic equation is $ax^2 + bx + c = 0$ , where $a \neq 0$ and $a$ , $b$ , $c$ are real number coefficients.

Write [formula] in standard form and identify [formula], [formula], [formula].

Is [formula] in standard form? If not, rewrite it.

Convert [formula] to standard form.