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This is a descriptive method of converting an equation from standard to vertex form
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Standard to Vertex form Procedure
y = -0.00211x2 + 1.06x (1)
Step 1) Firstly, you set equaion (1) to zero(0) -0.00211x2 + 1.06x = 0 (2)
Step 2) Secondly, you divide equation (2) by -0.00211(to make the coefficient of x 2 equal 1
x2 - 502.4x = 0 (4)
Step 3)
x2 -502.4x + (-502.4/2)2 = 0 + (-502.4/2)2 (5)x2 - 502.4x + 63,093.8 = 63,093.8 (6)
Step 4) Now, factorize equation (6).(x-502.4)2 = 63,093.8 (7)
Step 5) rearrange equation (7).(x-502.4)2 - 63,093.8 = 0 ( This is the vertex form)
The equation (4) above is in the form Ax + B + C = 0, where A = 1, B= -502.4, and C = 0
Now, divide B by two and square it. Add the result to both sides of equation (4) above
ି.ଶଵଵ௫మ
ି.ଶଵଵ+ ଵ.௫
ି.ଶଵଵ = 0 (3)