Vertex form of the quadratic equation

Vertex Representation - Examples, Exercises and Solutions

Vertex form of the quadratic equation

The vertex form allows us to identify, very easily, the vertex of the parabola and hence its name.

The vertex form of the quadratic function is:
$Y=a(X-p)^2+c$

Detailed explanation

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Test yourself on vertex representation!

$$ f(x)=(x-3)^2+x $$

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Where the values of the vertex of the parabola are $( p,c)$
$P$ - represents the value of the $X$ of the vertex.
$C$ - represents the value of the $Y$ of the vertex.
For example in the function:
$Y=2(X-3)^2+5$

The vertex of the parabola is:
$(3,5)$

Observe
In the formula for the vertex form there is a minus sign before $P$ . This is how the template is constructed, it does not mean that $P$ is negative.
If we obtain a negative $X$ vertex we will place it with a minus sign in the vertex form template and the minus will turn into plus.