# What is the vertex form of y= x^2 + 10x +25 ?

Apr 28, 2017

$y = {\left(x + 5\right)}^{2}$

#### Explanation:

Given : $y = {x}^{2} + 10 x + 25$
$y = {\left(x + 5\right)}^{2}$
This is the vertex form of the equation of curve denoted by the latter.
Definition : vertex form of a parabola is given by
$y = a {\left(x - h\right)}^{2} + k$
where (h,k) is the vertex of the parabola and $x - h = 0$ is the axis of symmetry .