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Answer:
Step-by-step explanation:
We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).
Recall that vertex form is given by:
Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:
It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:
Solve for <em>a: </em>
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In conclusion, our quadratic function in vertex form is: