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Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.

example below

PLEASE HELP Ray needs help creating the second part of the coaster Create a unique parabola in the pattern fx x ax b Describe the direction of the parabola and class=

Respuesta :

The equation of the parabola is f(x) = -x(x + 6), the y intercept is 0, the zeros are at 0 and -6

What is a parabola?

A parabola is a plane curve with a u shape. The equation for a parabola is in the form of a quadratic equation, that is:

y = ax² + bx + c

If a is positive, the parabola faces up whereas if a is negative, the parabola faces down.

From the graph:

The direction of the parabola is facing down. Hence a is negative

The y intercept is at x = 0. The y intercept is 0.

The zeros are at -6 and 0. Hence:

f(x) = -(x - 0)(x - (-6))

f(x) = -x(x + 6)

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