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
Alchen [17]
3 years ago
5

Describe the graph of the function.y = |x – 4| – 7

Mathematics
2 answers:
faltersainse [42]3 years ago
5 0
<h2>Answer with explanation:</h2>

We are given a function as:

                 y=|x-4|-7      

We know that this function is a transformation of the parent function y=|x| i.e. the  modulus function.

The rule that holds in this transformation is:

It is a translation of the parent function 4 units to the right and 7 units down.

Also, the graph of the function is attached to the answer.

juin [17]3 years ago
3 0
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x
Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Hope it helps, despite being this long!
You might be interested in
Lusita earned $85 for 8 hours of babysitting. Avery earned $125 for 11 hours of babysitting. Are the rates equivalent
weeeeeb [17]
No, avery makes more then lusita
7 0
3 years ago
Read 2 more answers
The larger of two numbers is 12 more than the smaller their sum is 84 find the numbers
dedylja [7]
EXPLANATION:
Let the smaller no. be x.
Therefore, The bigger no. = x+12

x + 12 + x = 84
=> 2x = 84-12
=> x = 72/2
=> x = 36

ANSWER: The two numbers are (36+12) 48 & 36

Hope it helps u!
4 0
2 years ago
Read 2 more answers
500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
statuscvo [17]

Answer:

40 degrees is (40/360)=0.111=11.1%

The color closest to 11.1% is Purple at 12%.

The total who prefer a rainbow color is:

13+4+5+15+16+12=65

Of this 65, 13 prefer red, so 13/65=0.20,

of the people who preferred a rainbow color,

20% preferred red.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLEASE HELP PLEASE PLEASE PLEASE
Leviafan [203]

X+27=4x+12

X+15=4x

15=3x

5=x

4 0
3 years ago
Round 3184.5641 to two decimal points?
Juli2301 [7.4K]
3185.56 because the 4 is less than 5 so there fire turns all those other numbers into zeros!000000
8 0
3 years ago
Other questions:
  • Six more than the product of a number and 3 equals 7. Translate the sentence into an equation.
    10·1 answer
  • A box of blueberries is 2/5 full. Janet and her friends had each eaten 1/10 of a box of blueberries. How many people are blueber
    9·2 answers
  • Multiply or divide as indicated. Leave your answer with no factors in the denominator. a^3 b^2 / a^-1 b^-3
    13·1 answer
  • Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why
    14·1 answer
  • Solve for x pls i need the answer asap
    12·1 answer
  • Help plz:)))I’ll mark u Brainliest
    5·1 answer
  • Please help me is for my homework​
    13·2 answers
  • Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The distance betwe
    11·1 answer
  • Show Work Please Thank You
    9·1 answer
  • Can someone help me with this?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!