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<span>The definition of quadratic function is given by:
</span>
<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form. </em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>
<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:
Thus:
Finally, the answer is:
The graph of this function is shown in the figure below.</span>
</span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form. </em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:
Thus:
Finally, the answer is:
The graph of this function is shown in the figure below.</span>