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
Digiron [165]
3 years ago
5

F(x)=x what is the equation of the new function shift 8 units left shift 3 units down

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0
Think of the equation of a linear function:  
Recall y = mx + b   for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'.  Note that the slope or 'm' stays the same for each type of shift.  

Now that we know how the shifts occur, we might consider a different form of the equation for a linear function:  y = a(x - h) + k  here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.  

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes:   y = (x + 8) - 3  Now you might be confused with how we got the 'x + 8'..   Let's consider values of 'h'.  For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left.  So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.  

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
You might be interested in
Find the rate please help. I can’t seem to figure this out. They’re asking for the rate
elixir [45]

Answer:

Hello TheSection

Step-by-step explanation:

I see your stalking me right now. GIVE ME BACK BRAINLIEST RIGHT NOW TheSection THAT WAS MY 1st EVER AND YOU STOLE IT

6 0
2 years ago
Car X and car Y traveled the same 80-mile route. If car X took 2 hours and car Y traveled at an average speed that was 50 percen
KiRa [710]

Answer:

Step-by-step explanation:

Both cars, X and Y travelled 80 miles each.

Speed = distance/time

If car X took 2 hours to travel 80 miles, it means that the speed at which car X travelled is

80/2 = 40 mph

If car Y traveled at an average speed that was 50 percent faster than the average speed of car X, it means that the speed at which car X travelled is

40 + 0.5 × 40 = 60 mph

Time = distance/speed

Therefore, time taken by car Y to travel 80 miles is

80/60 = 1.33 hours

7 0
3 years ago
What is the equation of the line parallel to x = 7, passing through the point (-4, 1)? A. X = -4 B. X = 1 C. Y = -4 D. Y = 1
77julia77 [94]

Answer:

x=-4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q? Show your work please.
Strike441 [17]
 = 2x^2 - 20x + 49 = 2(x^2 - 10x + 49/2) 

y= 2((x-5)^2 - 25 + 49/2) = 2((x-5)^2 - 1/2) = 2(x-5)^2 - 1 

q =5, r=-1, p=2 

Vertex = (q,r) = (5,-1)

hope it helps plz mark as brainliest
5 0
3 years ago
Which dot plot three TVs in two houses
Bogdan [553]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • 6 times a number subtracted from 49 is 5
    8·2 answers
  • At the beginning of the month, Tim has $50. He mows 2 lawns and washes 1 car. Then, he buys two video games that cost $15 each a
    13·1 answer
  • There are pens on sale for 3 pens for 6 dollars. Sasha bought 3 pens. Malachi bought 1 pen. How much more did Sasha spend than M
    15·2 answers
  • If 3 dogs eat 4 pounds of dog food a day how many dogs eat 15 pounds of food a day
    12·1 answer
  • the sum of two numbers is 63. The smaller number is 9 less than the larger number.what are the numbers
    9·1 answer
  • Find the measure of each angle​
    5·1 answer
  • PLEASE HELP ASAP What is the slope of the given line ? What is the equation of the line ?
    12·1 answer
  • PLEASE HELP ME PLEASE LOL<br> Solve for x and y. Round your answers to the nearest tenth.
    15·2 answers
  • (3x−1)+x2−4 when x=3 how do i solve it
    15·1 answer
  • If WX= 82 cm, find the length of YZ. (OV = 9cm and OV is perpendicular to YZ)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!