How to find k in vertex form

Step 1

Ensure that your equation is written in standard form.

What is h in vertex form

What is h in vertex form

Vertex form example

Standard form to vertex form

Standard to vertex form calculator

How to convert standard form to vertex form when a is not 1

The standard form of a quadratic equation is y = ax^2 + bx + c, where "x" and "y" are variables and "a," "b" and "c" are integers. For instance, y = 2x^2 + 8x – 10 is in standard form, whereas y – 8x = 2x^2 – 10 is not. In the latter equation, add 8x to both sides to put it in standard form, rendering y = 2x^2 + 8x – 10.

Step 2

Move the constant to the left side of the equals sign by adding or subtracting it.

A constant is a number lacking an attached variable. In y = 2x^2 + 8x – 10, the constant is -10. Since it is negative, add it, rendering y + 10 = 2x^2 + 8x.

Step 3

Factor out "a," which is the coefficient of the squared term.

A coefficient is a number written on the variable's left-hand side.

How to convert standard form to vertex form by completing the square

In y + 10 = 2x^2 + 8x, the coefficient of the squared term is 2. Factoring it out yields y + 10 = 2(x^2 + 4x).

Step 4

Rewrite the equation, leaving an empty space on the right side of the equation after the "x" term but before the end parenthesis.

Divide the coefficient o

how to put quadratic into vertex form

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