Answer:
Equation of parabola is: [tex]y=4x^{2} +3x-6[/tex]
Step-by-step explanation:
By plotting a rough graph with the values given we get an opening upward parabola.
Standard equation for a parabola opening upwards is given by:
[tex]y=ax^{2}+bx+c[/tex]
We can solve for a,b,c by substituting the given values of x and y.
Putting x=0 and y=-6 in the above equation,we get:
c = -6
Putting x=-2 and y=4, we get:
[tex]4a-2b=10[/tex] ---------1
Putting x=4 and y=70, we get:
[tex]16a+4b=76[/tex] --------2
Solving equation 1 and 2, we get
a=4 and b=3
Hence [tex]y=4x^{2} +3x-6[/tex]
