Question

The function f(x) goes through the point (-2, 6). Which of the following translations of f(x) will go through the point (3, 5)?
A) f(x – 5) – 1
B) f(x + 5) + 1
C) f(x – 5) + 1
D) f(x + 5) – 1

Answer 1

Answer:

D) f(x + 5) - 1

Step-by-step explanation:

If original points are

(-2, 6)

add 5 to x, which in this case is -2

and -2 + 5 = 3

then subtract 1 from f(x), and f(x) = y, which is 6

and 6 - 1 = 5

so now you have the points (3, 5)

Answer 2

The translation of the function is f(x + 5) - 1 and passes through the point  (3,5). Then the answer D is correct.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The original points are given below:-

(-2, 6)

Add 5 to x, which in this case is -2.

-2 + 5 = 3

Subtract 1 from f(x), and f(x) = y, which is 6.

6 - 1 = 5

We get the point (3,5).

Hence, the correct answer is option D.

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