Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) = x3 + 5x2 + 4x − 5 f(x) + 1 = x3 + 2x2 − 3x − 4 f(x) − 1 = x3 + 2x2 − 3x − 6 f(x − 1) = x3 − x2 − 4x − 1
1 answer:
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows: <span>f (x) = x^3 + 2x^2 − 3x − 5 </span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5 f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5 f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 f (x-1) = <span>x^3 - x^2 - 4x - 1 Therefore, the correct answer is the last option.</span>
You might be interested in
Even if they both spent all of their money, they would still be $0.43 short. Leon’s $65 and Jennas $50 makes $115. Since they need $115.43, it doesn’t matter how they split the money as they wouldn’t have enough Hope this helps :)
Answer:
If you are asking what 2 divided 2 is its 1
Step-by-step explanation:
Answer:
35 degrees
42 degrees
x = 8 degrees
x = 7 degrees
Step-by-step explanation:
1)
m <1 = 70/2 = 35 degrees
2)
m <1 = 84/2 = 42 degrees
3)
6 + 4 x = (9 x + 4) / 2
12 + 8 x = 9 x + 4
12 - 4 = x
x = 8 degrees
4)
3 x - 1 = x + 13
2 x = 14
x = 7 degrees
20...just draw 20 coins or something
Answer: yes
Step-by-step explanation:
Using Pythagorean theorem WHICH ONLY WORKS FOR RIGHT TRIANGLES,
a^2+b^2=c^2 where a and b are the two shortest legs.
12^2+35^2=c^2
144+1225=c^2
c^2=1369
c=
c=37