Question

What is the equation, in standard form, of a parabola that models the values in the table?

Answer 1

Answer:

Equation of parabola is: $y=4x^{2} +3x-6$

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:

$y=ax^{2}+bx+c$

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:

$4a-2b=10$  ---------1

Putting x=4 and y=70, we get:

$16a+4b=76$ --------2

Solving equation 1 and 2, we get

a=4 and b=3

Hence $y=4x^{2} +3x-6$