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Section 4.6 : Transformations

Use transformations to sketch the graph of the following functions.

  1. \(f\left( x \right) = \sqrt x + 4\) Solution
  2. \(f\left( x \right) = {x^3} - 2\) Solution
  3. \(f\left( x \right) = \left| {x + 2} \right|\) Solution
  4. \(f\left( x \right) = {\left( {x - 5} \right)^2}\) Solution
  5. \(f\left( x \right) = - {x^3}\) Solution
  6. \(f\left( x \right) = \sqrt {x + 4} - 3\) Solution
  7. \(f\left( x \right) = \left| {x - 7} \right| + 2\) Solution