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Which is the equation of the parabola in the given scenario?

a) y = -1/8(x + 3)² + 2
b) y = 1/8(x - 3)² - 2
c) y = 1/8(x + 2)² + 3
d) y = -1/8(x - 2)² - 3

User Raveturned
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Final answer:

The question is identifying the correct equation of a parabola, which represents the trajectory of a projectile and is expressed in a quadratic form. The quadratic formula is applied to solve such equations.

Step-by-step explanation:

The student is asking for the equation of a parabola, which is a quadratic equation of the form y = ax + bx². This form is typical of the trajectory of a projectile. To derive the equation of a parabola from the trajectory of a projectile, one would use the horizontal displacement x = Voxt to solve for time t and then substitute into the expression for vertical displacement y = Voyt - (1/2)gt², resulting in a quadratic equation where a and b are constants.

When solving a quadratic equation of the form ax² + bx + c = 0, the quadratic formula x = (-b ± √(b² - 4ac))/(2a) is used to find the solutions for x.

User Sharpner
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