Question

Suppose that G(x) = F(x-6) - 3. Which statement best compares the graph of
G(X) with the graph of Ax)?
O
A. The graph of G(x) is the graph of Ax) shifted 6 units to the right
and 3 units down,
O
B. The graph of G(x) is the graph of Fx) shifted 6 units to the left and
3 units down.
O
C. The graph of G(X) is the graph of Ax) shifted 6 units to the right
and 3 units up.
O
D. The graph of GX) is the graph of Fx) shifted 6 units to the left and
3 units up.

Answer 1

Answer:

B

Step-by-step explanation:

Since G(x) =F(x-6)-3

So on the x-axis it will shift - 6 units so to the left and - 3 units on the y-axis then 3 units down.

Answer 2

We conclude that G(x) is a translation of 6 units to the right and 3 units downwards of F(x).

Which statement best compares the graph of G(X) with the graph of F(x)?

We write a vertical translation of f(x) as:

g(x) = f(x) + N.

• If N is positive the translation is upwards.
• If N is negative the translation is downwards.

And we write a horizontal translation of f(x) as:

g(x) = f(x + N).

• If N is positive, the translation is to the left.
• If N is negative, the translation is to the right.

Here we have:

G(x) = F(x - 6) - 3

So, by using the above information, we conclude that G(x) is a translation of 6 units to the right and 3 units downwards of F(x). So the correct option is A.

If you want to learn more about translations:

https://brainly.com/question/24850937

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