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Question about Quadratic Equation: Bhaskara

Mathematics

Originais Teachy

Quadratic Equation: Bhaskara

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(Originais Teachy 2023) - Question Medium of Mathematics

An engineer is designing a ramp for a new skate park. He wants the ramp to have a parabolic shape, as he finds it aesthetically pleasing and also suitable for the skaters. The parabola he drew has a width of 4 meters at the base and a maximum height of 3 meters. He modeled this parabola using a second-degree equation: y = ax² + bx + c. If the vertex of this parabola is at the point (0, 3) and one of the zeros is at x = 2, how could you determine the coefficients a, b, and c of this equation?
a.
a = -3/4, b = 2, c = 3
b.
a = 3/4, b = 0, c = 3
c.
a = -1, b = 0, c = 3
d.
a = -3/4, b = 0, c = 2
e.
a = -3/4, b = 0, c = 3

Answer sheet:

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