Write a numerical expression to represent 6 times the difference of 9 and 3.
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Answer:
Step-by-step explanation:
Vertex form of a quadratic is given by:
Where (h, k) is the vertex and <em>a</em> is the leading coefficient.
We are given that the vertex is (3, 1). Hence, <em>h</em> = 3 and <em>k </em>= 1. By substitution:
We are also given a point (2, -6). This means that when <em>x </em>= 2, <em>f(x)</em> = -6. Hence:
Solve for <em>a</em>. Subtract:
Simplify:
Therefore:
Hence, our quadratic is: