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3. rewrite $y = \\sqrt{25x - 125} + 5$ to make it easy to graph using a…

Question

  1. rewrite $y = \sqrt{25x - 125} + 5$ to make it easy to graph using a translation. describe the graph.
  • the equation is $y = 5\sqrt{x - 5} + 5$. it is the graph of $y = 5\sqrt{x}$ translated 5 units left and 5 units up.
  • the equation is $y = \sqrt{x - 5} + 5$. it is the graph of $y = \sqrt{x}$ translated 5 units left and 5 units up.
  • the equation is $y = \sqrt{x + 5} + 5$. it is the graph of $y = \sqrt{x}$ translated 5 units right and 5 units up.
  • the equation is $y = 5\sqrt{x - 5} + 5$. it is the graph of $y = 5\sqrt{x}$ translated 5 units right and 5 units up.

Explanation:

Answer:

\(y = 5\sqrt{x - 5}+5\) It is the graph of \(y = 5\sqrt{x}\) translated 5 units right and 5 units up