What is the equation in standard form of a parabola that models the values in the table x -2,0,4 f(x) 4,-6,70 3x^2+4x-6 4x^2+3x-6 4x^2-3x-6 4x^2-3x-6 -4x^2-3x-6

Equation of parabola is :

Step-by-step explanation:

Given,

x = -2  0  4

f(x) = 4  -6  70

General equation of parabola is:

Now we plug corresponding x and y values to get coefficient a,b and c.

Fro x =-2  and y( =f(x) ) = 4

        ______(1)

For x = 0 , y = -6

  _____(2)

For x = 4 , y = 70

  _____(3)

Plug c= - 6 in equation (1) and (3)

We get,  

solving above two equations to find a and b.

Multiply equation (1) by 2 then add equation (1) and (3)

Hence equation of parabola is :

i think the answer is b)

step-by-step explanation:

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.