Find the Vertex y=3x^2

Problem

y=3*x2

Solution

1. Identify the coefficients of the quadratic equation in the standard form y=a*x2+b*x+c

2. Determine the values of a b and c from the given equation y=3*x2+0*x+0

a=3

b=0

c=0

3. Calculate the xcoordinate of the vertex using the formula x=(−b)/(2*a)

x=(−0)/(2*(3))

x=0

4. Substitute the xcoordinate back into the original equation to find the ycoordinate.

y=3*(0)2

y=0

5. State the vertex as the ordered pair (x,y)

Final Answer

Vertex=(0,0)

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