1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
3 years ago
15

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
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
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
1. Mr. Hudson bought some shirts for the new members of his band. The cost for the number of shirts, including $3.99 shipping, w
nignag [31]

Answer:

6x + 4 - 1/100 = 77.5

Step-by-step explanation:

Inc shipping all shirts 77.49

Shirt individual cost = 12.25

We find the division first = 77.49-3.99 = 73.5  = 73 1/2

Then we divide 73.5 / 12.25 = 6

Then we have our equation

6x + 4 - 1/100 = 77.5

7 0
3 years ago
What is the y intercept of L2
WITCHER [35]

Answer:

5

Step-by-step explanation:

Count up the y axis

3 0
3 years ago
(6x + 3) = 2x-1<br><br>Solve the inequality <br><br>plz help ​
Gnom [1K]

Answer:

x = -1

Step-by-step explanation:

Subtract 3 from both sides:

6x = 2x - 4

Subtract 2x from both sides:

4x = -4

Divide both sides by 4:

x = -1

(by the way, this is an equation, not an inequality - equations use =, inequalities use < > ≤ ≥)

8 0
3 years ago
Read 2 more answers
Can someone help me with this? What is the price per inch for the extra large tub? The Volume of the tub is 785 units cubed and
katrin2010 [14]
\bf \begin{array}{ccllll}&#10;in^3&\$\\&#10;\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\&#10;785&9.99\\&#10;1&x&#10;\end{array}\implies \cfrac{785}{1}=\cfrac{9.99}{x}

solve for "x"
8 0
3 years ago
Tina has a rectangular planter box. She decides that she needs more planting space so she triples the length, doubles the width
kirill [66]

Answer:

  6

Step-by-step explanation:

The volume is proportional to length, so tripling the length multiplies the volume by 3.

The volume is proportional to width, so doubling the width multiplies the volume by 2.

Tina's new planter box is 3×2 = 6 times the volume of the original.

4 0
4 years ago
Other questions:
  • 13. Find the value of x in the equation 2 (x 3) 5x 5 (2x 6)A. -12B. 2C. 12
    8·1 answer
  • How to write 3/4 as a decimal
    5·1 answer
  • I need to find the distance between these two points:
    6·1 answer
  • 7. As a part of a geometry assignment, Ellen drew an isosceles triangle. Which of the following dimensions could represent the s
    5·1 answer
  • Which number is farther from 0 on a number line -9 or 6
    12·1 answer
  • The normal mean temperature in Barrow, Alaska is -2° F in November.
    15·1 answer
  • While thrilling, there is a chance that you would have an accident if you elected to drive on the wrong side of a divided highwa
    7·1 answer
  • 2) How much sales tax does Jaylen have to pay if the sales tax rate
    15·1 answer
  • 3. A line passes through (1,8) and is perpendicular to the graph of
    15·1 answer
  • Please help<br><br> Find the equation of this line.<br> 1<br> a<br> [?]<br> x + [ ]<br> y =
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!