Find the Vertex f(x)=(x-4)^2-9

Problem

ƒ(x)=(x−4)2−9

Solution

1. Identify the form of the quadratic function. The given function is in vertex form, which is written as ƒ(x)=a*(x−h)2+k

2. Extract the value of h from the expression (x−4) In the formula (x−h) the value of h is 4

3. Extract the value of k from the constant term outside the parentheses. In the formula +k the value of k is −9

4. Determine the vertex coordinates (h,k) using the identified values.

Final Answer

Vertex=(4,−9)

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