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Which of the following is the equation of the quadratic function below?so-213A. yx² - 2x+2ОООB. y - x² - 8x+12C. y = x+8x-12O D. y=x+2x-2

Which of the following is the equation of the quadratic function belowso213A yx 2x2ОООB y x 8x12C y x8x12O D yx2x2 class=

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SOLUTION

From the image, we can see that the graph cuts the x-axis at +2 and +6.

So this means that +2 and +6 are the roots of the quadratic equation.

We will use these roots in deriving the equation.

This becomes

[tex]\begin{gathered} x=+2,x=+6 \\ (x-2)(x-6) \\ \\ \text{Expanding, we have } \\ \\ x^2-2x-6x+12=0 \\ x^2-8x+12=0 \\ \\ \text{Therefore, } \\ \\ y=x^2-8x+12 \end{gathered}[/tex]

So, the correct answer is option B

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