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Explanation:
1. The general form of a quadratic in standard form* is ...
[tex]f(x)=ax^2+bx+c[/tex]
An example is ...
[tex]f(x)=2x^2+3x-5[/tex]
The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.
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2. The general form of a quadratic in vertex form can be written as ...
[tex]f(x)=a(x-h)^2+k[/tex]
An example is ...
[tex]f(x)=2(x -3)^2 -5[/tex]
The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.
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* In the UK, "standard form" is vertex form.
