Quadratic Functions Homework

Complete the following question for our next lesson on Tuesday. Remember, you can leave a comment below if you run in to any trouble with these!

Consider the quadratic function \(f(x) = 2x^2 + 4x -16\).

  1. Express \(f\) in factored form.
  2. Express \(f\) in vertex form.
  3. Describe a sequence of transformations that would produce the graph of \(y = f(x)\), starting from the graph of \(y = x^2\).
  4. Describe a sequence of transformations different from your answer to c) that would also produce the graph of \(y = f(x)\), starting from the graph of \(y = x^2\).

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