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LoveandHate
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stupid question, but if i know a zero of a parabola and a point it goes through, how do i find it's equation?
LoveandHate said:stupid question, but if i know a zero of a parabola and a point it goes through, how do i find it's equation?
A parabola is a curved shape that is formed by the graph of a quadratic function. It is a symmetrical shape with a single bend, and can either open upwards or downwards depending on the coefficients of the quadratic equation.
To find the equation of a parabola given its zero and a point, you can use the standard form of a quadratic equation, y = ax^2 + bx + c. Plug in the given values for the zero and point to form a system of equations, and then solve for the coefficients a, b, and c using algebraic methods.
The zero of a parabola, also known as the x-intercept, is where the parabola crosses the x-axis. It is an important point to determine as it tells us the value(s) of x where the parabola intersects with the horizontal axis.
Yes, there can be more than one parabola that passes through a given zero and point. This is because a parabola can be shifted and stretched in different ways while still maintaining the same zero and point. However, the orientation and shape of the parabolas may differ.
You can verify the equation by substituting the values of the zero and point into the equation and checking if they satisfy the equation. If the values do not satisfy the equation, then the equation is not correct and you may have made a mistake in your calculations.