Question

Which of the following represents the equation of the parabola that passes through the points (-6,9), (-2,-7), and (0,-6)?

a) y = 2x^2 - 4x - 6

b) y = -2x^2 - 4x + 6

c) y = -2x^2 - 4x - 6

d) y = 2x^2 + 4x - 6

Answer 1

The equation of the parabola that passes through the given points (-6, 9), (-2, -7), and (0, -6) is y = -2x^2 - 4x - 6.

Step-by-step explanation:

The equation of a parabola can be written in the form y = ax^2 + bx + c, where a, b, and c are constants. To find the equation of the parabola that passes through the given points (-6, 9), (-2, -7), and (0, -6), we can substitute the coordinates of each point into the equation and solve for the constants a, b, and c. By substituting the coordinates into the equation, we find that the correct equation of the parabola is y = -2x^2 - 4x - 6 (option c).