Completing The Square

Learning Goals:

By the end of this unit I will understand:

-How and Where each variable goes in the x equation

-Solve word equations Using the x equation

-Convert Vertex equations into standard form


In this unit there is a algebreic expression y=a(x-h)2+k to find the minma and maxima of a parabola. This expression is converted from standard form by simply plugging in what a,b and c =.This is one way of completing the square. This unit also relates back to the last one on where to solve for quadratic equations to simplify an equation. Next is understanding the x intercept formula and how to convert it into that equation. The equation looks like Go on the site and you will see how the equation looks like. To convert it into that equation just plug in the variables from a standard form equation.

Quadratic Formula Example

The standard form of the equation is 0=25x^2 - 40x + 16. Now 1st you need to set the varibales. A=25. B=40. C=16. Now you plug that into the quadratic formula and solve. Your answer should be 4/5.

Completing the Square Example

Likewise as the 1st example completing the square involves the formula x= -b +- (square root) b^2 - 4(a)(c) divided by 2 (a).Once this is done the last part of the equation will be x = -b + (square root of the product) divided by product of a and 2. That and another one only positive instead of a negative. The reason you get two answers is because in a parabola there is a high chance of having two x intercepts. There can also be one x intercept or no x intercept(s).

Word Problem

To find word problems related to quadratic equations click the link above.

Completing the square