What is the vertex form of y= 5x^2 + 22x + 8 ?

1 Answer
May 29, 2017

"the vertex form of equation is "y=5(x+2.2)^2-16.2

Explanation:

y=5x^2+22x+8

"The vertex form is can be written as "y=a(x-h)^2-k

"where (h,k) is vertex coordinates"

y=5x^2+22x+color(red)(24.2-24.2)+8

y=5x^2+22x+24.2-16.2

y=5(color(green)(x^2+4.4x+4.84))-16.2

color(green)(x^2+4.4x+4.84)=(x+2.2)^2

y=5(x+2.2)^2-16.2