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

Respuesta :

Answer:

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