Question

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.

Answer 1

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

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.