Question 523896
Help me please! I have to write the equation of the parabola in vertex form.
(show all work) 
The vertex is (0,4) and it passes through point (1,2) 

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Standard form of equation for parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex, A being a multiplier which affects the steepness or slope of the curve.
For given problem:
y=A(x-0)^2+4
y=Ax^2+4
Using given point (1,2) to find A
2=A(1)^2+4
A=-2
Equation:
y=-2x^2+4