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
denis-greek [22]
3 years ago
13

In any function, f(x) = a(x-h)n + k , a negative leading coefficient means the graph is reflected. True or False

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

True

Step-by-step explanation:

For any function of the form f(x) = a(x-h) ^ n + k the coefficient a produces a reflection of the function whenever a.

We can verify it in the following way.

Take, for example, the function:

f(x) = 2(x-1) ^ 3

Now let's make f(2)

f(2) = 2(2-1)^3\\\\f(2) = 2

Now let's f(2) in the following function:

f(x) = -2(x-1)^3

We have:

f(2) = -2(2-1)^3\\\\f(2) = -2

We can see then that the function was reflected in the axis -y by placing a negative coefficient a.

You can see more examples in the attached images

Therefore we can conclude that the statement is true.

You might be interested in
please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e
mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0
1 year ago
A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Bas_tet [7]

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= P(6 \ males)+ P(7 \ males)

= \frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}

= \frac{5005\times 1716+6435\times 1287}{30421755}

= \frac{16870425}{30421755}

= 0.5545

8 0
3 years ago
Number 20 ASAP ASAP THANK YOU
stira [4]

Answer:

I think its A, Because if you look at the problome A makes sense

6 0
3 years ago
What property is 10(5+9x) and 10(9x+5)
tatuchka [14]

Answer:

Associative property: The addition or multiplication of a several numbers is the same regardless of how the numbers are grouped. The associative property will always involve 3 or more numbers. The parenthesis groups the terms that are considered one unit.

8 0
3 years ago
Does anybody know the answer??
alexandr1967 [171]

Answer:

i think the answer is c

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • A quality of control inspector found that 1.3% of 1500 computers inspected were defective. How many computers were defective?
    14·1 answer
  • If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?
    8·1 answer
  • Round 5.53 to one decimal place
    7·1 answer
  • Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel i
    5·1 answer
  • 50 = 2n + 22 is ?? <br> ( it would help if you explain I’m having trouble lol ! )
    10·2 answers
  • Write the words used to read the number 46,533,034
    14·1 answer
  • I need help please?!!!!
    6·1 answer
  • If you can walk 5.3 miles in 2.5 hours, how many minutes does it take to walk 3.18 miles? Round to 1 decimal.
    10·1 answer
  • What is the coefficient for the variable d
    8·1 answer
  • M is the midpoint of PA.<br> 8x - 1<br> M<br> 2x + 17 A<br> PM =
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!