Answer:
y=2[tex]x^{2}[/tex] -7x-4
three linear equations
c=-4 ;4a+b=1 ; 9=a-b
Step-by-step explanation:
Simply assume a standard parabola equation y=a[tex]x^{2}[/tex] +bx +c
(here a, b, c are three independent variables)
Three coordinates as shown in graph are (0,4), (4,0) ,(-1,5)
Now put these points in the equation of parabola and get three linear equations.
[1] c=-4
[2] 4a+b=1
[3] 9=a-b
Now substitute value of a from equation 2 into 3 in terms of b
a= [tex]\frac{1-b}{4}[/tex]
9=[tex]\frac{1-b}{4}[/tex]-b
b=-7
a=2
y=2[tex]x^{2}[/tex] -7x-4
