- #1
missnerdist
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Find the equation of a quadratic function whose graph contains the given points.
(-2,1), (-6,1), (2,-7)
THANK YOU
(-2,1), (-6,1), (2,-7)
THANK YOU
Find the equation of a quadratic function whose graph contains the given points.
(-2,1), (-6,1), (2,-7)
A parabola is a U-shaped curve that is formed by the graph of a quadratic function. It is a type of conic section and is one of the most commonly studied shapes in mathematics.
To find the equation of a parabola, you need to know the coordinates of its vertex and at least two other points on the parabola. You can then use the standard form of a quadratic equation, y = ax^2 + bx + c, and plug in the coordinates to solve for the values of a, b, and c.
The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants. This form is also known as the vertex form, as it is often used to find the coordinates of the vertex of a parabola.
The vertex of a parabola is the point on the graph where the parabola changes direction from increasing to decreasing, or vice versa. It is the highest or lowest point on the parabola, depending on whether it opens upward or downward.
No, you need to know at least two points on the parabola to find its equation. This is because a parabola can have an infinite number of equations that pass through a single point. However, if you know the coordinates of the vertex and one other point, you can find the equation of the parabola using the method described in the second question.