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Find the vertex of the parabola whose equation is y = x2 - 4x + 6.

User CarelZA
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Hello Romom! To find the vertex, we can use the vertex formula to find x of the vertex and then use the equation to find the y of the vertex.

Vertex Formula:
x = (-b)/(2a)


y = x^2 - 4x + 6
b = (-4)
a = 1


x=(-b)/(2a)

x=(-(-4))/(2(1))

x=(4)/(2)

x=2

So the vertex x point is at 2 so (x,y) = (2,y)
Now lets find the y by inserting 2 where the x is located in the equation:

y = x^2 - 4x + 6

y = 2^2 - 4(2) + 6

y = 4 - 8 + 6

y = 2
Now that we found the y for the vertex, we have (x,y) = (2,2) and (2,2) is our vertex. We can graph the equation to and see (2,2) is correct.


Find the vertex of the parabola whose equation is y = x2 - 4x + 6.-example-1
User Andreea
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