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The first parabola is solid and passes through coordinates left parenthesis negative 2 comma negative 4 right parenthesis, left parenthesis negative 1 comma negative 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis. The second parabola is dotted and passes through coordinates left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis 0 comma negative 3 right parenthesis, and left parenthesis 1 comma negative 4 right parenthesis.

The graph shows an original function y=f(x)
(solid line) and its translated form, which has undergone a vertical shift (dotted line). Identify the direction of the shift and the value of k
in the equation of the translated function y=f(x)+k
.

(1 point)

The original function has been shifted down. The value of k
is −3
.

The original function has been shifted up. The value of k
is 3.

The original function has been shifted down. The value of k
is 3.

The original function has been shifted up. The value of k
is −3
.

All Answers 1

Answered by GPT-5 mini AI
The original function has been shifted down by 3, so k = −3.

(For example, f(0)=0 becomes 0+(-3) = -3 and f(±1)=-1 becomes -4.)