What is the equation in standard form of a parabola that models the values in the table x -2 0 4 f(x) 0 -6 78

Step-by-step explanation:

Given points are :

  x     =    -2      0       4

y=f(x) =    0       -6      78

We have to model the parabola with the help of these points

Solution:

We consider a standard equation of parabola

now, we put the points in the equation we get,

at (-2,0) is    4a-2b+c=0

at (0,-6) is    c=-6

at (4,78) is    78= 16a+4b+c  

now, solving these equation we get, a= 4    , b= 5    , c= -6

so the equation formed with these points is  

we can see this in the graph attached.

y + 11 = (1/4)(x + 16)

step-by-step explanation:

answer: 72: 111

step-by-step explanation: