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
kodGreya [7K]
3 years ago
10

Graph g(x)=|x−4|+3 not sure how to do this

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

This is an example of transformation of a parent function. If you know the graph of the parent function, you just need to know how the transformation affect its shape, and you can graph any function derived from the parent one.

In this case, the parent function is f(x)=|x|, i.e. the classic V-shaped function, with its spike on the origin. Now, about the transformation:

|x| \to |x-4|

is a transformation of this kind: f(x)\to f(x+k). These transformations result in horizontal translations, k units to the left if k>0, to the right if k. So, in your case, the graph if shifted to the right by 4 units.

|x-4| \to |x-4|+3

is a transformation of this kind: f(x)\to f(x)+k. These transformations result in vertical translations, k units down if k>0, up if k. So, in your case, the graph if shifted upwards by 3 units.

So, in the end, if you start from the graph of f(x)=|x|, you can plot the graph of |x-4|+3 by shifting the parent function 4 units to the right and 3 units up.

You might be interested in
Pls help I will give Brainiest sorry if I spellt it wrong
devlian [24]

Answer:

oil and sugar

Step-by-step explanation:

5 0
2 years ago
Solve the system of linear equations using either substitution or the elimination method.
lara31 [8.8K]

Answer:

x = -1

y = 2

Step-by-step explanation:

x + y = 1

y = -x + 1

y = -x + 1  (Multiply this by -1)

y = 3x +5

-y = x - 1

y = 3x +5

0 = 4x + 4

4x = -4

x = -1

x + y = 1

-1 + y = 1

y = 2

4 0
2 years ago
Help please, my brain stopped working and my assignment is due by midnight
Marizza181 [45]
The correct answer is x= -6 let me know if you want to know how I got that or if you needed to know if it is no solution/ infinite/etc..
3 0
3 years ago
Read 2 more answers
The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 48 and the common rati
Aleks [24]

Answer:

The sigma notation would look like this:

∞

Σ       48(1/4)^i-1

i = 1

Step-by-step explanation:

I can't seem to find a good way to make it more connected so I'll just have to tell you. The ∞ is above the ∑, while the i = 1 is under it. That is all one thing. The rest is followed as normal, and it is all next to the ∑

7 0
3 years ago
Read 2 more answers
Which model represents the factors of 4x2 – 9?
Gemiola [76]

4x^2-9


(2x+3)(2x-3)


To verify use distributed


2x(2x) +2x(-3)+3(2x)+3(-3)


4x^2-6x+6x-9


4x^2+0-9


4x^2-9

8 0
3 years ago
Read 2 more answers
Other questions:
  • Plz answer 20 points
    13·1 answer
  • suppose you deposit $1000 in an account paying 4.6% annual interest compounded continuously. How long will it take for the money
    12·1 answer
  • A triangle has side lengths of
    13·1 answer
  • Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of resi
    15·1 answer
  • I need helpppp assaaapp!
    6·2 answers
  • Hey again.. Please answer!!
    15·2 answers
  • 9. Given that P = (-1,16) and Q = (1, 9), find the component form and
    10·1 answer
  • Solve for x, y, and z. Show all your work.
    13·1 answer
  • 2x+4 algebraic expression
    10·2 answers
  • Find the area of ​​the base of the triangular base pyramid.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!