A.) identify the parent function of the given graph.

b.) in two or more sentences, compare and contrast the domain and range of the parent function with that of the given graph.

Base = 6ft

Height =9ft

Step-by-step explanation:

Area of a triangle: 1/2 x base length x height

Base = b

Height = b+3

27 = 1/2 x b x (b+3)

27/(1/2) = b (b+3)

54= b^2 +3b

0=b^2 +3b -54

For: ax2+ bx + c  

a=1 ; b=3 ; c =-54

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

x =[ -3 ± √(3)²-4(1)-54] /2(1)  

x = [ -3± √9 +216] /2  

x = [-3 ± √225] /2  

x = [ -3 ± 15] /2  

Positive:  

x = [ -3 + 15] /2 =12/2 = 6  

b= 6 ft (base length)

Height =b+3 = 6+3 = 9 ft

Feel free to ask for more if needed or if you did not understand something.