Question

Use the image to answer the question.

A V shaped function with arrows at both ends passes through 7 plotted points. The x-axis ranges from negative 9 to 9 in unit increments and the y-axis ranges from negative 11 to 11 in unit increments.
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The equation of the function is f left parenthesis x right parenthesis equals start absolute value x plus 1 end absolute value. The coordinates of the plotted points are left parenthesis negative 4 comma 3 right parenthesis, left parenthesis negative 3 comma 2 right parenthesis, left parenthesis negative 2 comma 1 right parenthesis, left parenthesis negative 1 comma 0 right parenthesis, left parenthesis 0 comma 1 right parenthesis, left parenthesis 1 comma 2 right parenthesis, and left parenthesis 2 comma 3 right parenthesis.

Which table shows that y=−f(x)
results in a reflection of the function graphed over the x-axis?

(1 point)

The table shows the transformation of the function resulting in a reflection over the x-axis.
x −f(x)

−4
−3

−2
−1

−3
−2


The table shows the transformation of the function resulting in a reflection over the x-axis.
x −f(x)

−1
−2

1 0
−2
3

The table shows the transformation of the function resulting in a reflection over the x-axis.
x −f(x)

1 2
−2
1
−3
2

The table shows the transformation of the function resulting in a reflection over the x-axis.
x −f(x)

4 −3

2 −1

3 −2

Remaining Attempts : 3

Answer 1

The first table.

Reason: y = −f(x) negates each original y-value. From the given points f(−4)=3, f(−3)=2, f(−2)=1 so −f(−4)=−3, −f(−3)=−2, −f(−2)=−1, which matches the first table’s entries (−4, −3), (−3, −2), (−2, −1).