Question

Which graph accurately demonstrates the relationship between the functions f(x)=x−−√
and f(x)=x−−√+3
?(1 point)

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 6 to 6 in increments of 2.
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The first curve is solid and begins at coordinates left parenthesis 0 comma 0 right parenthesis. The first curve passes through approximate coordinates left parenthesis 1 comma 1 right parenthesis, left parenthesis 2 comma 1.5 right parenthesis, and left parenthesis 3 comma 1.8 right parenthesis. The second curve is dotted and begins at coordinates left parenthesis 0 comma 3 right parenthesis. The second curve passes through approximate coordinates left parenthesis 1 comma 4 right parenthesis, left parenthesis 2 comma 4.5 right parenthesis, and left parenthesis 3 comma 4.8 right parenthesis.

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 6 to 6 in increments of 2.
▼Click for Long Desc
The first curve is solid and begins at coordinates left parenthesis 0 comma 3 right parenthesis. The first curve passes through approximate coordinates left parenthesis 1 comma 4 right parenthesis, left parenthesis 2 comma 4.5 right parenthesis, and left parenthesis 3 comma 4.8 right parenthesis. The second curve is dotted and begins at coordinates left parenthesis 0 comma negative 3 right parenthesis. The second curve passes through approximate coordinates left parenthesis 1 comma negative 2 right parenthesis, left parenthesis 2 comma negative 1.5 right parenthesis, and left parenthesis 3 comma negative 1.2 right parenthesis.

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 4 to 4 in increments of 2.
▼Click for Long Desc
The first curve is solid and begins at coordinates left parenthesis 0 comma 0 right parenthesis. The first curve passes through approximate coordinates left parenthesis 1 comma 1 right parenthesis, left parenthesis 2 comma 1.5 right parenthesis, and left parenthesis 3 comma 1.8 right parenthesis. The second curve is dotted and begins at coordinates left parenthesis 0 comma negative 3 right parenthesis. The second curve passes through approximate coordinates left parenthesis 1 comma negative 2 right parenthesis, left parenthesis 2 comma negative 1.5 right parenthesis, and left parenthesis 3 comma negative 1.2 right parenthesis.

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 4 to 4 in increments of 2.
▼Click for Long Desc
The first curve is solid and begins at coordinates left parenthesis 0 comma 1 right parenthesis. The first curve passes through approximate coordinates left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 2.5 right parenthesis, and left parenthesis 3 comma 2.8 right parenthesis. The second curve is dotted and begins at coordinates left parenthesis 0 comma negative 2 right parenthesis. The second curve passes through approximate coordinates left parenthesis 1 comma negative 1 right parenthesis, left parenthesis 2 comma negative 0.5 right parenthesis, and left parenthesis 3 comma negative 0.2 right parenthesis.
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Answer 1

The first graph. It shows y = √x starting at (0,0) and y = √x + 3 shifted up 3 units starting at (0,3) with the same shape (e.g. (1,1) and (1,4), (2,~1.5) and (2,~4.5)).