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what is f(x)=x to the second power - 6x +5

Guest Apr 26, 2017
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 #1
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do u mean

 

x ^ (-6x + 5)^2

 

greets dieks

Guest Apr 26, 2017
 #2
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Assuming you meant 

f(x) = x^2 - 6x +5

 

this is a parabola shifted to intercept the y-axis at +5.

 

The roots are

x^2 - 6x + 5 = f(x)=0

(x-1)(x-5) = 0  This is because we want to know what is going on when the y value for the equation is 0 (f(x) set to be 0)

-----> x = 1, 5 when y (f(x)) = 0

 

If you imagine this graph, it is a parabola with a y-intercept of 5 and x intercepts of 1 and 5.

 

the peak (minimum in this case) of the parabola is 

2x - 6 = dy/dx = 0

x = 3 ------> 3^2 - 6(3) +5 = -4

minimum at (3,-4)

Guest Apr 26, 2017

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