Standard and Vertex form of a Quadratic Equation
ax²+bx+c = 0 }
h= {-b \over 2a} , k=f( {-b \over 2a }) }
We are given the Standard Form y=3x²- 6x-2 .
First, compute the x-coordinate of the vertex
h={ - b \over 2a}= { -(-6)\over (2*3)} = 1 .
Next, compute the y-coordinate of the vertex by plugging -1 into the given equation:
k= 3*(1)²-6(1)-2=-5 .
Therefore, the vertex is
(h,k)=(1,-5) .
Thus, we transformed the above Standard Form into the Vertex Form y=(x-1)²-5 .
Easy, wasn't it?
Tip: When using the above Standard Form Calculator to solve
3x²-6x-2=0 we must enter the 3 coefficients as
a=3, b=-6 and c=-2.
Then, the calculator will find the Vertex (h,k)=(1,-5) step by step.
Finally, the vertex form of the Parabola is y=(x-1)²-5 .
Get it now? Try the above Standard Form Calculator again.
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