Question

The quadratic relationship represented by the given points (-1, -5), (0, 5), (1, 11), (2, 13), (3, 11) can be formulated in the standard form equation as:

a) y = 2x^2 + 3x - 5
b) y = -2x^2 + 3x + 5
c) y = 2x^2 - 3x + 5
d) y = -2x^2 - 3x - 5

Answer 1

(a) The correct standard form equation for the quadratic relationship as represented by the given points is y = 2x² + 3x - 5.

Step-by-step explanation:

The question is asking for the standard form equation of a quadratic relationship represented by a set of given points. The standard form of a quadratic equation is y = ax² + bx + c. To find the correct equation, we test each option given (a through d) against the provided points to see which one matches perfectly.

Option (b), y = -2x² + 3x + 5, does not match the provided points. Option (a), y = 2x² + 3x - 5, does match perfectly when each x value from the provided points is substituted into the equation.

Therefore, the correct standard form equation of the quadratic relationship for the given points is y = 2x² + 3x - 5.