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torisob [31]
3 years ago
8

Please help 50 points wrong answers will be reported

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

A. y=2\sqrt{x+4}+5 is a translation of the parent function y=2\sqrt{x} 4 units left and 5 units up

Step-by-step explanation:

Consider expression \sqrt{4x+16}:

\sqrt{4x+16}=\sqrt{4\cdot (x+4)}=\sqrt{4}\cdot \sqrt{x+4}=2\sqrt{x+4}

Hence, the function is

y=2\sqrt{x+4}+5

Consider the parent function y=2\sqrt{x}

The main translations:

  • y=2\sqrt{x-a} - a units to the right;
  • y=2\sqrt{x+a} - a units to the left;
  • y=2\sqrt{x}+b - b units up;
  • y=2\sqrt{x}-b - b units down.

Hence, y=2\sqrt{x+4}+5 is a translation of the parent function y=2\sqrt{x} 4 units left and 5 units up

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