Tuesday, April 28, 2015

What are the intercepts of y= x^2 -4x + 5 ?

The intercepts of y= x^2 -4x + 5 have to be
determined.


At the point where the curve meets the x-axis,
the value of the y-coordinate is 0.


The equation x^2 - 4x +
5 = 0 has to be solved to determine the x-intercepts.


But
the equation x^2 - 4x + 5 = 0 does not have any real roots as (-4)^2 - 4*1*5 = -4 which
is negative.


The curve does not intersect the
x-axis.


At the point where it meets the y-axis, the x
coordinate is 0. This gives y = 0 - 0 + 5 = 0


The y
intercept of the curve is 5.


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