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
zvonat [6]
3 years ago
13

Which best describes the behavior of the function f(x)=23x−2?

Mathematics
2 answers:
ankoles [38]3 years ago
6 0

Answer:

Shifted down  2  units

Vertical stretch

Step-by-step explanation:

Hope this helps :)

Fed [463]3 years ago
5 0

Answer:

Shifted down  2  units

Vertical stretch

You might be interested in
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Paul [167]

Answer:

bout 7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve log660 – log630.
Misha Larkins [42]
The answer would be log62...
6 0
3 years ago
Read 2 more answers
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

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

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
How do you write 7 29/80 (mixed number) to a decimal?
Finger [1]
A fraction can be viewed as a division problem, and a mixed number can be viewed as an addition problem. So,
7 29/80 can be read as:

7+29÷80

Follow the order of operations and you'll have your decimal.

7+29÷80
7+0.3625
7.3625
6 0
3 years ago
Does anyone know the answer?<br> * ANSWER ASAP *
blsea [12.9K]
The correct answer is c
8 0
3 years ago
Read 2 more answers
Other questions:
  • How Do you simplify this and have positive exponents
    5·2 answers
  • Mr.Foote placed a cement walk along the side of his house. The walk if 18 inches wide and 32 feet long. What was the cost of the
    6·1 answer
  • Pt 3 7/7 lasttt one helpppp
    14·1 answer
  • What is the value of each expression in simplest form?9/1 divided by 3/5
    11·1 answer
  • James is 10 feet below sea level if he increases his elevation by 30 feet what is his location?
    11·1 answer
  • HELP TIMED <br> Which is equivalent to ?
    7·1 answer
  • -4x &lt; 16<br> How do I solve this inequality?
    6·1 answer
  • A horse gallops 16 miles in 2 hours. How many hours would it take the horse to gallop 40 miles?
    12·2 answers
  • Find the median and mean of the data set below :​
    7·2 answers
  • What percent of numbers of the muffins sold were carrot
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!