The graph of a function, ƒ( x), is plotted on the coordinate plane. select two of the following functions that would move the graph of the function to the right on the coordinate plane.
a. ƒ( x + 2) – 7
b. ƒ( x) – 3
c. ƒ( x – 3) + 1
d. ƒ( x) + 4
f. ƒ( x + 6)
g. ƒ( x – 5)

The following functions would move the graph of the function to the right on the coordinate plane.

C)

G)

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

If the function shifts units to the left.

If the function shifts units to the right.

Vertical shift:

If the function shifts units to the up.

If the function shifts units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A)

Translation:

The translation shows a shift of 2 units to the left and 7 units down.

B)

Translation:

The translation shows a shift of 3 units down.

C)

Translation:

The translation shows a shift of 3 units to the right and 1 units up.

D)

Translation:

The translation shows a shift of 4 units up.

F)

Translation:

The translation shows a shift of 6 units to the left.

G)

Translation:

The translation shows a shift of 5 units to the right.

the answers c

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