Question 941453
y = x^2 - 2x + 2
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find the roots:
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x^2 - 2x + 2 = 0
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the above quadratic equation is in standard form, with a=1, b=-2 and c=2
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -2 2
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the quadratic has two complex roots at:
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y = 1 + (1)i
y = 1 - (1)i
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therefore the function does not intersect the x-axis:
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however, the function has a vertex minimum at: (1, 1)
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two other points on the function are:
x = 0
y = 2
(0, 2)
and
x = 2
y = 2
(2, 2)
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the graph:
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{{{ graph( 300, 200, -4, 6, -2, 20, x^2 - 2x + 2 ) }}}
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