# How do you state the coordinates of the vertex of the parabola whose equation is: y = 3(x - 2)^2 + 5?

May 10, 2016

$\text{Vertex } \to \left(x , y\right) \to \left(2 , 5\right)$

#### Explanation:

This is the vertex form of the equation from which you can directly read off the vertex coordinates

In that ${x}_{\text{vertex}} = \left(- 1\right) \times - 2 = + 2$
where the -2 is taken from $\left(x - 2\right)$

" "y_("vertex") = +5

$\implies \text{Vertex } \to \left(x , y\right) \to \left(2 , 5\right)$