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Using the graph of f(x)=√x as a guide, which of the following represents the correct description of the function g(x)=2√x-1

g is f horizontally stretched by a factor of 2 and translated 1 unit down.
g is f vertically stretched by a factor of 2 and translated 1 unit right.
g is f horizontally stretched by a factor of 2 and translated 1 unit up.
g is f vertically stretched by a factor of 2 and translated 1 unit down.

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jimrgrant1 jimrgrant1 · Answer 1 · 2022-01-04T11:39:46+01:00

Answer:

2nd option

Step-by-step explanation:

kf(x) scales the graph of f(x) in the vertical direction.

• k > 1 stretches

• 0 < k < 1 compresses

Here k = 2 , thus a vertical stretch

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Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here [tex]\sqrt{x-1}[/tex] has a < 0 then a shift of 1 unit to the right