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:
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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
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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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