Describe how to transform the graph of f into the graph of g. f (x) = square root of quantity x minus nine. and g (x) = square root of quantity x plus five.

Question

Mathematics

Roselyn Larson

17 October, 04:30

Describe how to transform the graph of f into the graph of g. f (x) = square root of quantity x minus nine. and g (x) = square root of quantity x plus five.

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Joaquin Tran · Answer 1

Translate the graph 14 units horizontally to the left by adding to the x-variable the constant 14.

Step-by-step explanation:

Translations of "c" units in the horizontal axis are obtained by adding or subtracting the constant value "c" to the variable x itself. When we want to translate the graph to the right, we subtract c, and when we want to move the graph horizontally to the left, we add c.

In this case, to go from the radicand (x-9) to the radicand (x+5), an addition of 14 units has to be performed, and such corresponds to a horizontal displacement to the left in 14 units.