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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