Consider the following function. f (x) = x^2+2x+1.

Part A: Write a function that shifts f (x) up 5 units.

Part B: Write a function that shifts f (x) down 8 units

Part C: Write a function that vertically compresses f (x) by 1/4 units.

Part D: write a function that vertically stretches f (x) by 6 units

part e: write a function that reflects f (x) about the x-axis

Question

Dante Ford

Mathematics

10 October, 01:24

Consider the following function. f (x) = x^2+2x+1.

Part A: Write a function that shifts f (x) up 5 units.

Part B: Write a function that shifts f (x) down 8 units

Part C: Write a function that vertically compresses f (x) by 1/4 units.

Part D: write a function that vertically stretches f (x) by 6 units

part e: write a function that reflects f (x) about the x-axis

+3

Answers (1)

Know the Answer?

Tanner Nixon · Answer 1

A) x² + 2x + 6

B) x² + 2x - 7

C) ¼ (x²+2x+1))

D) 6x²+12x+6

E) - x²-2x-1

Step-by-step explanation:

A) f (x) + 5 = x²+2x+1 + 5

= x² + 2x + 6

B) f (x) - 8,=x^2+2x+1-8

= x² + 2x - 7

C) ¼f (x) = ¼ (x²+2x+1)

D) 6f (x) = 6 (x²+2x+1) = 6x²+12x+6

E) - f (x) = - (x²+2x+1) = - x²-2x-1