Question

Am I doing this correctly?

QUESTION: Complete the square in the quadratic function f given by f(x) = 2x2 - 6x + 4?

ANSWER: f(x) = 2(x2 - 3x) + 4 : factor 2 out in the first two terms
= 2(x2 - 3x + (-3/2)2 - (-3/2)2) + 4 : add and subtract (-3/2)2
= 2(x - 3/2))2 + 17/2 : complete square and group like terms.

Answer 1

looks good to me

Answer 2

you did it right

Answer 3

x squared -- x^2

Answer 4

Thank you so much

Answer 5

the second line has some error..... {2(x2 - 3x + (-3/2)2 - (-3/2)2) + 4}
-3x..... it should come from 2*a*b.....so a=x, you need b=?.

Answer 6

2ab=-3x
2xb=-3x
b=-3/2

Answer 7

2(x^2-3/2x+(-3/2)^2-(-3/2)^2)+4
2(x^2-3/2x+9/4-9/4)+4
2(x^2-3/2x+9/4)-2*9/4+4
2(x-3/2)^2-18/4+4*(4/4)
2(x-3/2)^2+(-18+16)/4
2(x-3/2)^2-1/2