Find the Vertex y=2x^2+3

Problem

y=2*x2+3

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=2*x2+0*x+3

a=2

b=0

c=3

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

x=−0/(2*(2))

x=0

4. Substitute the x-coordinate back into the original equation to find the y-coordinate.

y=2*(0)2+3

y=3

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

Final Answer

Vertex=(0,3)

Want more problems? Check here!