Question

Each of the function graphs represents an original function, marked by a dotted line graph, and a translated graph, marked by a solid line graph. Which graph shows that y=f(x−3)
is the result of the function y=f(x)
being translated by 3 units?(1 point)

Two lines drawn on coordinate plane. Both axes range from negative 5 to 5 in unit increment.
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Two lines drawn on coordinate plane. X-axis range from negative 3 to 9 and y-axis range from negative 3 to 3 in unit increment.
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Two parabolas drawn on coordinate plane. X-axis range from negative 9 to 4 and y-axis range from negative 1 to 9 in unit increment.
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Two curves drawn on coordinate plane. Both axes range from negative 5 to 5 in unit increment.
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Answer 1

y = f(x − 3) is f(x) shifted 3 units to the right. So pick the graph where the solid graph is the dotted graph moved 3 units to the right (i.e., every point on the solid has x = (corresponding dotted x) + 3).