Question

Given the function f(x) = x^3 + 2x^2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit?

f(x + 1) = x^3 + 5x^2 + 4x − 5
f(x) + 1 = x^3 + 2x^2 − 3x − 4
f(x) − 1 = x^3 + 2x^2 − 3x − 6
f(x − 1) = x^3 − x^2 − 4x − 1

Answer 1

@CaptainFluffy

Answer 2

@paki

Answer 3

umm ewww math

Answer 4

well i can try

Answer 5

ima take a slight guess...

Answer 6

(x) = x3 + 2x2 - 3x - 5

Shifted to the right 1 unit

f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5
= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
= x^3 - x^2 - 4x - 1

2)
f(x) = x4 + 3x3 - 5x2 + 2x - 2

f(-1) = (-1)^4 + 3(-1)^3 - 5(-1)^2 + 2(-1) - 2
= -11
f(1) = (1)^4 + 3(1)^3 - 5(1)^2 + 2(1) - 2
= -1

average rate of change = [-11 - (-1)]/[1 - (-1)]
= -5

3)
f(x) = -3x^38 + 7x^3 - 12x + 13

f(-∞) = -3(-∞)^38 + 7(-∞)^3 - 12(-∞) + 13
= -∞
f(∞) = -3(∞)^38 + 7(∞)^3 - 12(∞) + 13
= -∞

Down on the left, down on the right

4)
f(x) = 8x^3 - 3x^2 - 5x + 8

The degree of the first term

5)
f(x) = x^4 - 7x^3 + 12x^2 + 4x - 12

From x = 1 to x = 2
.

Answer 7

im mostly wrong tho

Answer 8

so idk im not good at math at all

Answer 9

Noo youre great thank you