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Converting Vertex Form to Factored Form

Commemorating the Armenian Genocide

Converting a vertex form to a standard form is considerably easier than converting from standard form to vertex form. Taking an equation in the vertex form we can follow the process to convert to a standard form.

$$y=(x+3.5)^2-0.25$$

First of all, the vertex form contains a square of a bracketed term. This is equivalent to the same bracket appearing twice.

$$y=(x+3.5)(x+3.5)-0.25$$

This can be expanded using the same FOIL approach used to convert a factored form to a standard form to give us a collection of terms from multiplying out the contents of the brackets.

$$y=x^2+3.5x+3.5x+12.25-0.25$$

Like terms can then be combined to give the expression in the standard form.

$$y=x^2+7x+12$$

On April 24th 1915, authorities in the Ottoman Empire arrested over 200 Armenian notables in the city of Constantinople, who were later executed or expelled from the capital. This decapitation strike targeted Armenian community leaders and is marked annually as the anniversary of the beginning of the Armenian genocide, during which around 1 million Armenians were murdered.