SOLUTION: find the quadratic functions: 1. f(x)= x squared -8x+6 2. h(x)= (x-1) squared -4 please hepl me, thank you

Question 158130: find the quadratic functions: 1. f(x)= x squared -8x+6
2. h(x)= (x-1) squared -4
please hepl me, thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. f(x)= x squared -8x+6

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=40 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.16227766016838, 0.83772233983162. Here's your graph:

2. h(x)= (x-1) squared -4
(x-1)^2 - 4 = 0
(x-1)^2 = 4
Take sqrt
x-1 = +2, -2
x = 3, x = -1
--------
2nd method:
x^2 - 2x + 1 - 4 = 0
x^2 - 2x - 3 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:

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