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29 February, 10:37

What are the similarities and differences between the standard form and vertex form of a quadratic equation?

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  1. 29 February, 14:27
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    Answer and Step-by-step explanation: Standard form of a quadratic equation is expressed as: y=ax²+bx+c, while vertex form is written as:

    y=a (x-h) ²+k.

    The similarities between standard and vertex forms is that they show if the graph of the equation has a minimum (when a>0) or maximum (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.

    The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.

    The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h, k) and the axis of symmetry, which is the value of h.
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