Tough Math question! How would you convert the following functions?

Question

1. y= -1/4x^2+3x-1 to standard form


2. y= -3(x+1)^2 + 2 to transformational form

Answer 1

1)
Do the operations by yourself
a=-1/4
b=3
c=-1
y=a(x-r)^2+k

r=-b/2a
k=(4ac-b^2)/(4a)

2)
y=-3(x^2+1+2x)+2
=-3x^2-6x-1

Answer 2

on the time first human beings appeared there have been 2.After 30 years there have been 4 . in case you assume exponential enhance you could write 4= 2*a^30 so log2= 30log a so log a= (log2)/30 and a = a million.0234 so your inhabitants after x years could be P= 2*(a million.0234)^x in case you be attentive to the fairly inhabitants you could calculate x that's the time surpassed because of the fact human beings appeared assume the fairly inhabitants at 6*10^9 3*10^9 = (a million.0234)^x so x = log(3*10^9) /log a million.0234 =943.4years which isn't clever So this type isn't clever.

Answer 3

1. . . .y= -1/4x^2+3x-1
4y = - x² + 12 x - 4
x² - 12 x + 4y + 4 = 0 . . . standard form

y= -3(x+1)^2 + 2
y - 2 = -3(x+1)² . . . . . this is a parabola . . facing down
. . . . . . . . vertex at . . (-1, 2)
. . . intercept . . (-0.1835, 0) . . . and . . .(- 1.8165 , 0)