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
Factor x3 + x2! Thanks!
kogti [31]
To factor this take a common multiple. In this case, it is x^2:

x^2(x+1)

Hope this helped!
5 0
3 years ago
A submarine dives 750 feet every 5 minutes and 4,500 feet every 30 minutes. Find the constant rate at which the submarine dives.
Anna35 [415]

Answer:

150 feet per minute

4 0
2 years ago
Stanley likes to go to the movie theater. Each time he goes to the movies he spends $4
Scilla [17]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Please help!! (Number 73)
Rasek [7]
So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so \bf V=l\cdot w\cdot h\qquad 
\begin{cases}
l=length\\
w=width\\
h=height\\ --------\\
h=1.75\\
V=78.75
\end{cases}\implies 78.75=lw\cdot 1.75
\\\\\\
\cfrac{78.75}{1.75}=lw\implies 45=lw

so.. if you factor 45, to two factors, one will be the length, the other the width

3 0
2 years ago
Help please!!!!!!!!!
SOVA2 [1]
Find the area of the triangles and smal ler square and add them together ; and find the area of the complete square and set them equal to each other (these are known truths)
triangle: l×w /2
square: s^2
There are 4 triangles so

4 (1/2ab)+c^2= (a+b)(a+b)
simplify

2ab+c^2= a^2+2ab+b^2
-2ab both sides

c^2=a^2+b^2

tada!! it's proven :)
6 0
3 years ago
Other questions:
  • Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula l⋅w, where l represents
    14·1 answer
  • the area of this triangle is 600ft to the second power what does x have to be? If it is a right triangle the verticle side is 12
    9·1 answer
  • what should max charge for a package of paper plates in his store if he bought them for $9.00 and wants to make a 75% profit?
    9·2 answers
  • How do I multiply 42 x 7.2
    12·1 answer
  • X(4-k)=p solve for k<br><br><br> I can't figure out how please help
    12·1 answer
  • Find AD. Show how you got your answer.
    12·1 answer
  • Which answer choice best fits the given word;
    15·1 answer
  • Please help due in 15 min!!!!
    12·2 answers
  • 3.How many times a year do you expect George to make $25?Single choice.
    9·1 answer
  • In a class of 48 students, one fourth of them regularly watch a particular tv programme. how many of the students do not regular
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!