The difference between standard form and vertex form is the standard form gives the coefficients(a,b,c) of the different powers of x. The vertex form gives the vertex 9hk) of the parabola as part of the equation.
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Y=3x^2 and this is in standard form. The vertex form of a prabola is y= a(x-h)2+k The vertex is at (0,0) so we have y=a(x)^2 it goes throug (2,12) so 12=a(2^2)=4a and a=3. Now the parabola is y=3x^2. Check this: It has vertex at (0,0) and the point (2,12) is on the parabola since 12=3x2^2
Scientific notation (also called standard form or exponential notation) is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.
its a simple parobola symmetric about y axis, having its vertex at (0,-4). we can make its graph by changing its equation in standard form so that we can get its different standard points like vertex, focus, etc.
The question does not contain an equation: only an expression. An expression cannot have a vertex form.
You complete the squares. y = ax2 + bx + c = (ax2 + b/2a)2 + c - b2/(4a2)