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Oxana [17]
3 years ago
9

The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr

aph 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)
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

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

C) f(x-3)+1

G) f(x-5)

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:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

Vertical shift:

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

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

A) f(x+2)-7

Translation: f(x)\rightarrow f(x+2)-7

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

B) f(x)-3

Translation: f(x)\rightarrow f(x)-3

The translation shows a shift of 3 units down.

C) f(x-3)+1

Translation: f(x)\rightarrow f(x-3)+1

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

D) f(x)+4

Translation: f(x)\rightarrow f(x)+4

The translation shows a shift of 4 units up.

F) f(x+6)

Translation: f(x)\rightarrow f(x+6)

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

G) f(x-5)

Translation: f(x)\rightarrow f(x-5)

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

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