A graphing calculator or spreadsheet program can do this for you. Below is a plot from the Desmos on-line graphing calculator.
Answer:

Step-by-step explanation:
Given


Required
Write the equation of the function 
Express the function as:

In: 

--- (1)
In 

--- (2)
Divide (2) by (1)






Substitute 5/6 for b in (1)






The function: 

Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
to know if a polygon will tessellate one of the interior angles should be a factor of 360.
each angle of regular polygon = d = (n-2)*180