Find the Vertex y=x^2+1

Problem

y=x2+1

Solution

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

a=1

b=0

c=1

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

x=(−0)/(2*(1))

x=0

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

y=(0)2+1

y=1

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

(0,1)

Final Answer

Vertex=(0,1)

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