Question

Consider the table below.

x y
-1 -5
0 5
1 11
2 13
3 11

Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.

Answer 1

The standard equation is:  y = (-2)x² + 8x + 5

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0, with a ≠ 0 .

We know,

y = ax² + bx + c

For (-1, -5)

-5 = a - b + c..................(1)

For (0, 5)

5 = c

For (1, 11)

11 = a + b + c.....................(2)

From (1) and (2), we get

a=-2

and b= 8

Hence, the standard equation is:

y = (-2)x² + 8x + 5

Learn more about this concept here:

https://brainly.com/question/8991176

#SPJ1