Question

Which equation would include all of these points?

(-2,3), (-1,-3), (0, -5), (1, -3), (2, 3), (3, 13)

A)y = 2x + 5
B)y = 2x-5
C)y= 2x² + 5
D)y = 2x(2) - 5

Answer 1

D.
`y = 2\cdot x^(2)-5`

Explanation:

The given points show a symmetry that corresponds with a second-order polynomial (a parabola), that is:

`y = A\cdot x^(2)+B\cdot x + C` (1)

Where:

`x` - Independent variable.

`y` - Dependent variable.

`A, B, C` - Coefficients.

Since the absolute minimum is associated with
`x = 0`, then we infer the following conditions:

`A > 0`,
`B = 0`,
`C = -5`

Therefore, the correct answer is D.