Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and

1 answer
Question:

Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units? Question options: A) ƒ(x) = (x – 5)2 + 3 B) ƒ(x) = (x – 3)2 – 5 C) ƒ(x) = (x – 5)2 – 3 D) ƒ(x) = (x + 3)2 – 5

Answers

f(x) = (x - 3)² - 5

Step-by-step explanation:

equate equation to 0

(x - 3)² = 0

take the square root on both sides

x - 3 = 0

add 3

x = 3

If x = 3 then you are moving to 3 units to the right.

- 5 means you are going downward 5 units.

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