QUESTION IMAGE
Question
identify the form to find the quadratic feature
this is the only question in this section.
question
you must find the vertex of the function f(x). choose the form of the quadratic function f(x) that you would like to see in order to answer the question most efficiently.
answer
general form
factored form
vertex form
The vertex form of a quadratic function is written as $f(x)=a(x-h)^2+k$, where the vertex of the parabola is directly given by the coordinates $(h,k)$. This allows for immediate identification of the vertex without additional calculations, making it the most efficient form for this task. General form ($f(x)=ax^2+bx+c$) requires using the formula $h=-\frac{b}{2a}$ and substituting back to find $k$, while factored form ($f(x)=a(x-r_1)(x-r_2)$) first requires finding the axis of symmetry from the roots before calculating the vertex.
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Vertex form