Question

Which graph correctly demonstrates the relationship between the functions f(x)=2x
and f(x)=2x+3
?(1 point)
Responses

A) Two lines 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 line is solid and passes through coordinates left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 1 comma 0 right parenthesis. The second line is dotted and passes through coordinates left parenthesis negative 1 comma 0 right parenthesis and left parenthesis 0 comma 2 right parenthesis.
Image with description Two lines 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.

B) Two lines 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 line is solid and passes through coordinates left parenthesis 0 comma negative 3 right parenthesis and left parenthesis 2 comma 1 right parenthesis. The second line is dotted and passes through coordinates left parenthesis negative 1 comma negative 2 right parenthesis and left parenthesis 1 comma 2 right parenthesis.
Image with description Two lines 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.

C) Two lines 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 line is solid and passes through coordinates left parenthesis negative 2 comma negative 1 right parenthesis and left parenthesis 1 comma 5 right parenthesis. The second line is dotted and passes through coordinates left parenthesis negative 2 comma negative 4 right parenthesis and left parenthesis 2 comma 4 right parenthesis.
Image with description Two lines 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.

D) Two lines 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 line is solid and passes through coordinates left parenthesis negative 2 comma 0 right parenthesis and left parenthesis 0 comma 4 right parenthesis. The second line is dotted and passes through coordinates left parenthesis negative 1 comma 0 right parenthesis and left parenthesis 0 comma 2 right parenthesis.

Answer 1

C

Option C shows two parallel lines with slope 2: one is y = 2x (points (-2,-4) and (2,4)) and the other is y = 2x + 3 (points (-2,-1) and (1,5)), which matches f(x)=2x and f(x)=2x+3.