Question

Which of the following functions best describes this graph ?

Answer 1

Answer:

y = x${}^{2}$ - 9x + 20

Step-by-step explanation:

As seen from the graph , the function cuts the x-axis at 4 and 5. So, the roots of function are 4 and 5.

The function becomes :

( x - 4 ) ( x - 5 )

Expanding:

$(x - 4)(x - 5)$

$x(x - 5) - 4(x - 5)$

${x}^{2} - 5x - 4x + 20$

${x}^{2} - 9x + 20$

So, after expansion , it becomes :

${x}^{2} - 9x + 20$

So, Option D is the correct option.

Hope this helps..

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