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Marat540 [252]
4 years ago
6

Enter a function, g(x), to describe the graph of the function f(x) = 5x2 − 2 translated 3 units down.

Mathematics
1 answer:
grigory [225]4 years ago
6 0

Answer:

5x^{2} -5

Step-by-step explanation:

Vertical translation of a function is achieved by adding or subtracting a number from the function.

  1. Addition indicates upward translation
  2. Subtraction indicates downward translation

So, to translate g(x) 3 units down, we need to subtract 3 from g(x) as shown:

g(x) - 3

Using the value of g(x) in above expression we get:

5x^{2} -2-3\\\\ =5x^{2} -5

Therefore, the graph of g(x) shifted 3 units down will be 5x^{2} -5

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