# What is the standard form of  y= (-x+2)^2 + 5x+3 ?

##### 1 Answer
Jan 23, 2016

${x}^{2} + x + 7$

#### Explanation:

Expand using FOIL method :

${\left(- x + 2\right)}^{2} = {x}^{2} - 2 x - 2 x + 4 = {x}^{2} - 4 x + 4$

y now becomes : y = ${x}^{2} - 4 x + 4 + 5 x + 3$

Collect 'like terms' to obtain $y = {x}^{2} + x + 7$