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
Lena [83]
3 years ago
15

Which statements are true for the function y = |x| - 2? Select all that apply.

Mathematics
2 answers:
kakasveta [241]3 years ago
6 0
Two last answers are correct
klemol [59]3 years ago
4 0

Answer: The correct options are,

Its graph has a V-shape.

There are two inputs for which the output is 5.

The vertex of its graph is at (0, -2).

Step-by-step explanation:

Here, the given function is,

y=|x|-2 ------(1)

Which is an absolute function,

Since, the graph of an absolute function is always V shaped,

⇒ The graph of the given function is V-shaped,

Also, the range of the function is  [-2, \infty)

So, the value of the function can be negative,

Now, for y = 0,

\implies 0 = |x|-2

\implies |x|=2\implies x =\pm 2

Thus, there are two inputs for which the output is 0,

Also, for y = 5,

\implies 5=|x|-2

\implies |x|=7\implies x = \pm 7

Thus, there are two inputs for which the output is 5,

Since, if an absolute function is,

y=a|x-h|+k ------(2)

Then, the vertex of the function is (h,k),

By comparing equation (1) and (2),

The vertex of the given function is, (0, -2 )

You might be interested in
Two Step Equations<br><br> 9=5- 9/3
Alex787 [66]
9=5 -y/3
-5
3=-y/3
cross multiply
1=-y
y=-1
6 0
2 years ago
Maria is making a stained glass window in the form of a kite. the width of the window must be 15 in., and she only has enough st
NeTakaya
Kite Area = (Diagonal 1 * Diagonal 2) / 2
Diagonal 2 = 2 * Kite Area / Diagonal 1
Diagonal 2 =2 * 60 / 15
Diagonal 2 = 120 / 15
Height = 8 inches


4 0
3 years ago
A=244in2<br> H=<br> B=12.6in<br> (1in=2.54cm)
pshichka [43]
Although there is no picture, I will assume this is a triangle we are talking about since the terms base and height are being used. If that is the case, the height is roughly 38.72in. 

To find this, we will use the area of a triangle formula. 

1/2bh = a ---> plug in known values. 
1/2(12.6)(h) = 244 ---> multiply to simplify
6.3(h) = 244 ----> divide both sides by 6.3
h = 38.73
6 0
3 years ago
The perimeter of the triangle at right is 52 units. Write and solve an equation based on the information in the diagram. Use you
marysya [2.9K]

Answer:

  • equation: (7x-4) +19 +(10x+3) = 52
  • x = 2
  • red: 10
  • blue: 19
  • yellow: 23

Step-by-step explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

  P = red + blue + yellow

  52 = (7x -4) +(19) +(10x +3)

  52 = 17x +18 . . . . . . . . . . . . . . simplify

  34 = 17x . . . . . . . . . . . . . subtract 18

  2 = x . . . . . . . . . . . . divide by 17

__

  red = 7(2) -4 = 10

  blue = 19

  yellow = 10(2) +3 = 23

3 0
2 years ago
Evaluate each power.<br><br> a. (−7)0 b. (43)0 c. 10 d. (0.5)0
Sunny_sXe [5.5K]

Answer: The answer is two

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Mark has collected 114 baseball cards from both the national league and American League. His collection has twice the number of
    15·1 answer
  • Question 3 - open up to see pic
    10·1 answer
  • Marcella divided 40.8 gallons of paint among 8 characters , how much paint is in each container
    8·2 answers
  • A tower made of wooden blocks measures​ 114 feet high. Then a block is added that increases the height of the tower by 8 inches.
    8·1 answer
  • THIS IS ONE OF THE HARDER QUESTIONS THAT I GOT ON MY TEST TY :)
    11·2 answers
  • PLZ HELP ASAP I'LL GIVE BRAINLY sketch the solution set to the system of inequalities shown below
    12·1 answer
  • Valencia is solving this number riddle using guess and check. What number multiplied by eight is equal to forty? Valencia must f
    5·2 answers
  • 3) From the figure below, give the area of the shaded blue region
    15·2 answers
  • Find the x coordinate of the vertex of the parabola sketched in the figure below ?
    15·1 answer
  • Which expression is equivalent to
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!