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
Ulleksa [173]
3 years ago
13

The parent function f(x) = log5x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of

two and shifting it down three units. Which function is representative of this transformation? g(x) = log5(2x) - 3 g(x) = log5(-2x) + 3 g(x) = -2log5(x) - 3 g(x) = 2log5(x) + 3
Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

Option 3 -  g(x)=-2log_5 (x)-3

Step-by-step explanation:

Given : The parent function f(x)=log_5 (x) has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units.

To find : Which function is representative of this transformation.

Solution : The parent function y=log_5 (x)

  • Transformed by reflecting it over the x-axis.

Transformation over x-axis is f(x,y)→f(x,-y)

-y=log_5 (x)

y=-log_5 (x)

  • Stretching it vertically by a factor of two

Stretching it vertically means multiply the factor by output constant given.

Multiply the parent function by 2.

y=-2log_5 (x)

  • Shifting it down three units.

Shifting downwards means f(x)→f(x)-b , function shift downward by b unit.

y=-2log_5 (x)-3

Therefore, The new function formed is  g(x)=-2log_5 (x)-3

So, Option 3 is correct.

Vlada [557]3 years ago
5 0
To reflect it over the x axis, all y units get multiplied by -1, so we multiply the equation by -1. After that, to stretch it vertically, we multiply it by that factor, which is 2. Right now , we have -2log(5x). Lastly, we shift it down 3 units by subtracting 3 from the overall equation, resulting in  -2log(5x)-3
You might be interested in
Find f(-2) for the function f(x)= 3x2-2x+7
4vir4ik [10]

Answer:

f( - 2) = 23

Step-by-step explanation:

f(x) = 3 {x}^{2}  - 2x + 7 \\ plug \: x =  - 2 \\ f( - 2) = 3 {( - 2)}^{2}  - 2( - 2)+ 7 \\  = 3 \times 4 + 4 + 7 \\  = 12 + 11 \\  \huge \red{ \boxed{ f( - 2) = 23}}

4 0
3 years ago
A total of 484 tickets we’re sold for the school play. They Either adult or student tickets. There were 66 Fewer student tickets
choli [55]

Answer:

x + 61 = 411

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

4 0
3 years ago
.Which one of the following is true when ds/dt=3t^2/2s
ser-zykov [4K]
1) Given: ds / dt = 3t^2 / 2s

2) Separate variables: 2s ds = 3t^2 dt

3) Integrate both sides:

∫ 2s ds = ∫ 3t^2 dt

s^2 + constant = t^3 + constant

=> s^2 = t^3 + constant

=> s = √ (t^3 + constant)

Answer: option B.
4 0
3 years ago
-8 + r &gt; -8<br> please show work
zhuklara [117]

Hey there! :-)

-8+r>-8

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

#HaveAnAmazingDay

GraceRosalia

8 0
3 years ago
Read 2 more answers
The width of a rectangle field is 3h yards and its length is 3 yards longer than the width. The field has a fence around its per
d1i1m1o1n [39]

Answer:

Part a) P=(12h+2)\ yd

Part b) The expression that represent the cost of fencing the field is (336h+56)

Part c) \$1,736

Step-by-step explanation:

<u>The complete question in the attached figure</u>

Part a) we know that

The perimeter of the rectangular field (excluding the width of the gate) is equal to

P=2(L+W)-4

we have

L=(3h+3)\ yd\\W=3h\ yd

substitute the given values

P=2(3h+3+3h)-4

P=2(6h+3)-4\\P=12h+6-4\\P=(12h+2)\ yd

Part b) we know that

To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard

so

28(12h+2)=336h+56

Part c) we have

h=5

substitute the value of h in the expression of the cost

336(5)+56=\$1,736

8 0
3 years ago
Other questions:
  • Which graph represents x - 1 ≤ 3
    12·1 answer
  • How much water will be needed to completely fill a rectangular vase that has a length of 4 inches, a width of 4 inches, and a he
    11·1 answer
  • Which list is in order from least to greatest? 1.94 times 10 Superscript negative 5, 1.25 times 10 Superscript negative 2, 6 tim
    9·2 answers
  • What’s the answer for this
    9·1 answer
  • Calculate the radius of a circle that has a diameter of 190
    10·2 answers
  • The hartford insurance company has hired you to poll a sample of adults about their car purchases. what is wrong with using tele
    14·1 answer
  • PLEASE HELP
    15·2 answers
  • In a survey of 1,600 people who owned a certain type of car, 480 said they would buy
    5·1 answer
  • Anyone know the link to impoopsock or thepoopsocks account?
    5·1 answer
  • Simplify this algebraic expression completely 10y-3(y+5)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!