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katovenus [111]

3 years ago

12

2x^-8x+12 -------------- 2x^-36

1 answer:

inn [45]3 years ago

8 0

$\frac{x { }^{2} - 2x - 6x + 12}{ (x - 6)(x + 6)} \\ \\ \frac{x(x - 2) - 6(x - 2)}{(x - 6)(x + 6)} \\ \\ \frac{(x - 2)(x - 6)}{(x - 6)(x + 6)} \\ \\ \frac{x - 2}{x + 6}$

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ddd [48]

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Step-by-step explanation:

step 1

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Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

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Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

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For x=-2, y=0

substitute

$0=a(-2)^2+b(-2)+2$

$0=4a-2b+2$ ----> equation B

we have the system

$a=b-2$ ----> equation A

$0=4a-2b+2$ ----> equation B

substitute equation A in equation B

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solve for b

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Find the value of a

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therefore

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see the attached figure N 2 to better understand the problem

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