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Identify all of the transformation effects on the graph of the function ƒ(x) = x when ƒ(x) is replaced with ƒ(−x − 5) + 7.

A) shifted up 7 units
B) shifted down 7 units
C) shifted left 5 units
D) shifted right 5 units
E) reflected over y-axis

1 Answer

5 votes

The negative sign in front of the x reflects it over the y-axis.

The -5 shifts the graph 5 units to the right.

The +7 shifts it up 7 units.

The answers are A, D and E

User Gavin Mogan
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