What does it mean to write the equation of a parabola in vertex form when the vertex and points are given? Ex. vertex{3,4} point{2.5}


Rivkah Carl, I work at Noodle

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Great Question! There are different ways to write out the equation of a parabola and these ways will depend on the pieces of information provided. In this case the vertex point is given and then a separate point on the parabola. The vertex equation is y= a(x-h)^2 +k where (h,k) is the vertex point. You can use your vertex point, plug it into the equation and find the particular equation of your parabola with the specific point given. Many parabolas can have the same vertex, but will have different equations depending on how "wide" or "thin" they are.

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