# What is the the vertex of #y = (x-1)^2+2x-12#?

##### 2 Answers

Aug 6, 2018

#### Explanation:

#"expand and rearrange into standard form"#

#•color(white)(x)y=ax^2+bx+c color(white)(x);a!=0#

#y=x^2-2x+1+2x-12#

#y=x^2-11#

#"A quadratic in the form "y=ax^2+c#

#"has it's vertex at "(0,c)#

#"this has it's vertex at "(0,-11)#

graph{x^2-11 [-40, 40, -20, 20]}

Aug 6, 2018

Expand the brackets

The parabola

Another method:

To find the x coordinate of the vertex use

From

(0,-11) is your vertex