What is the vertex of the graph of y=3x^2+2x+1

vertex = ( - , )

given a parabola in standard form : ax² + bx + c (a ≠ 0 )

then the x-coordinate of the vertex = -

y = 3x² + 2x + 1 is in standard form

with a = 3, b = 2 and c = 1

= - = -

substitute this value into the equation for y- coordinate of vertex

= 3( - )² + 2(- ) + 1

= - + =

vertex = ( - , )

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)