Y=a(x-h)^2+k
vertex form is basically completing the square
what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway
y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13
vertex form is
y=2(x+6)^2+13
D = m/v
V = 2•2•2 = 8cm^3
D = 12/8 = 1.5g/cm^3
Answer is B
3(x + 1) + 6 = 33
3(x + 1) = 33 - 6 = 27
x + 1 = 27/3 = 9
x = 9 - 1 = 8
x = 8
N=m-a just move the variable around or if there are numbers put them in the equation
multiply by 4 for each number
5*4=20
20*4= 80
80*4=320
Answer is 320
