Function h is a transformation of the parent exponential function, f(x)=2^x. h(x)=-3*2^x Which statement is true?
A. Function h is a vertical translation of function f. B. Function h is a reflection and a dilation of function f. C. Function h is a reflection and a translation of function f. D. Function h is a horizontal translation of function f.
Answers
Answer:
Function is a reflection and dilation of function f.
Step-by-step explanation:
A reflection gives the mirror image of function.
A function can be reflected about an axis by multiplying by -1.
To reflect function about the x-axis, multiply f(x) by -1 to get -f(x).
The correct option is: B. Function h is a reflection and a dilation of function f.
-----------------------
The functions are:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = -3 \times 2^x[/tex]
It can be seed that g is f multiplied by -3.
The multiplication by a constant means that a dilation happened.Since the constant is negative, it means that a reflection also happened.In the image at the end of this question, it can be seen that the g, the blue graph, is a reflected and dilated version of f, the red graph.
Thus, the correct answer is:
B. Function h is a reflection and a dilation of function f.
A similar problem is found at https://brainly.com/question/17673148
Related Questions
can someone help me solve -2(8m+8)=-16
Answers
divide both sides of the equation by -2
8m+8 = 8
then cancel like terms on both sides
8m = 0
divide both sides by 8
m= 0
find the distance between each points (-1,4) (1,-1)
Answers
Answer: The distance is about 5.39 units
Step-by-step explanation:
To find the distance between the two points find the difference in the x and y coordinates and square them to add them and find their square root.
4-(-1) = 5
-1 -1 = -2
5^2 + -2^2 = d^2 where d is the distance
25 + 4 = d^2
29 = d^2
d = [tex]\sqrt{29}[/tex]
d= 5.39
ACBM is a segment of a circle such
that CM is the perpendicular bisector of AB.
If ICM 4 cm and IABI= 16 cm, calculate:
a the radius of the circle of which ACBM is a
segment
b the angle that chord AB subtends at the
centre of the circle
c the area of the segment.
Answers
Answer:
a. 8.94 cm b. 127° c. 12.37 cm²
Step-by-step explanation:
a. Since CM = 4 cm is the perpendicular bisector of AB = 16 cm and r is the radius off the circle. From Pythagoras' theorem,
r² = (AB/2)² + CM²
r = √[(AB/2)² + CM²]
Substituting the values of the variables into r, we have
r = √[(16/2)² + 4²]
r = √[8² + 4²]
r = 4√[2² + 1²]
r = 4√[4 + 1]
r = 4√5 cm
r = 8.94 cm
b. We know that the length of a chord L = 2rsin(θ/2) where r is the radius of the circle, and θ is the angle subtended by the chord AB.
Since L = 2rsin(θ/2) and L = AB = 16 cm,
L/2r = sin(θ/2)
taking sine inverse of both sides, we have
θ/2 = sin⁻¹(L/2r)
multiplying both sides by 2, we have
θ = 2sin⁻¹(L/2r)
substituting the values of the variables, we have
θ = 2sin⁻¹[16/(2 × 8.94)]
θ = 2sin⁻¹[16/17.88]
θ = 2sin⁻¹[0.8949]
θ = 2 × 63.49°
θ = 126.98°
θ ≅ 127°
c. The area of a segment A is given by
A = (θπ/360 - sinθ)r²/2 where θ is the angle subtended by the segment and r = radius of the circle
since θ ≅ 127° and r = 4√5 cm, substituting these values into A, we have
A = (127°π/360 - sin127°)(4√5)²/2
A = (398.93/360 - 0.7988)40
A = (1.1081 - 0.7988)40
A = 0.3093 × 40
A = 12.372 cm²
A ≅ 12.37 cm²
The answer is 345. Use these numbers 10, 3, 4, 5, 2, 1, 100 to get 345
Answers
Answer:
Step-by-step explanation:
100 + 100 + 100 + 10 + 10 + 10 + 10 + 5
The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction
& is the order of operation.
~
Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100
Step-by-step explanation:
10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
Using PEMDAS, multiply first ... then add/subtract.
30 + 4 + 10 + 1 + 300 = 345
34 + 10 + 1 + 300 = 345
44 + 1 + 300 = 345
45 + 300 = 345
345 = 345
Is 8 a solution to -2(x + 10) + 4 = -32? True or False
Answers
Step-by-step explanation:
-2(x + 10) + 4 = -32
-2(x + 10) = -32 -4
-2(x + 10) = - 36
x + 10 = (-36)/(-2)
x + 10 = 18
x = 18 - 10
x = 8
8 is a solution ... true
A food truck sells tacos for 6.50 each and burritos for 7.50 each. The food truck's revenue from selling a total of 164 tacos and burritos in one day is 1157.00. How many tacos and burritos were sold that day?
Answers
Answer:
12 burritos and 167 tacos
Step-by-step explanation: 164 x 6.5 = 1066
1157 - 1066 = 91
91/7.5 about 12
164 tacos and 12 burritos
If it is 5º outside and the temperature will drop 17º in the next six hours,how cold will it get? *
Answers
Answer:
-12 degree hope this helps you
Step-by-step explanation:
:
5 - 17 = -12
Answer:
_________
-12 degrees.
"Four more than the quotient of a number and 3 is at most 9."
Answers
Answer:
(n/3) + 4 ≤ 9
Step-by-step explanation:
"Four more than the quotient of a number and 3" is represented by
n/3 + 4
and this quantity is "at most 9:"
And so we get:
(n/3) + 4 ≤ 9
Three fences on a ranch measure 15/16 mile, 7/8 mile, and 7/16 mile. Which is the best estimate of the total length of all three fences. *
Answers
Answer:
deez
nuts
Step-by-step explanation:
what is the measure of X?
angles are not necessarily drawn to scale
Answers
Answer:
xº=71º
Step-by-step explanation:
Take the triangle BDH
Once the sum of interior angles of a triangle is 180º:
40º+31º+yº=180º
71º+yº=180º
yº=109º
Once yº and xº are supplementary angles (add up to 180º):
yº+xº=180º
109º+xº=180º
xº=71º
If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.
What is triangle?A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.
How to find angle?We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.
Let the angle DHB equal to y.
In ΔBDH
∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}
40+31+y=180
71+y=180
y=180-71
y=109°
We know that sum of two angles on a line is equal to 180°.
So, x=180-109
x=71°
Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.
Learn more about triangles at https://brainly.com/question/17335144
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12. Find the area of the rectangle. + 2
Answers
Answer:
The formula for the rectangle is base times the height. Since theres
no picture. SORRY!!
Step-by-step explanation:
Calculate unit _____ for rates to compare quantities
Answers
Answer:
rate
Step-by-step explanation:
Calculate unit rate for rates to compare quantities
how is the graph misleading?
Answers
Answer:
This graph is misleading because the colours of them are different.
Hope this helps!
You and a friend are heading to the movies. You each buy a ticket and you also want to buy some refreshments. The total cost of admission per person is, a, is $7.50 and you spent $15.50 on refreshments. Write an expression to represent the total cost of the trip. Then, find the total cost.
Answers
15.00+$15.50= $30.50 in total good luck :)))
Answer:
how did you find the answer of 1 ticket
Step-by-step explanation:
9x+12x-21=27
How do I solve ?
Answers
Betty makes pies. to make 6 pies, she uses 7 1/2 cups of flour. How many cups of flour are needed to make one pie Please submit the improper fraction and a mixed number. If you don´t, be surprised when your answer gets reported <3
Answers
Answer:
1 1/4 or 5/4 cups of flour
Step-by-step explanation:
7 1/2 divided by 6 equals 1 1/4.
hope this helps you :)
Answer:yes
Step-by-step explanation:
1.) Given N is between M and P. If MN = 3x +2, NP = 18, and MP = 5x find the length of each
segment
Answers
Step-by-step explanation:
MN=MP+PN
3X+2=5X-18
2X=20
X=10
MP=50
MN=32
NP=18
What is the range of the data? 2,8,7,8,6,15,6,3,8
Answers
Answer:
13
Step-by-step explanation:
The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.
(-5)-9=
A.-19
B.-9
C.9
D.19
Answers
Answer:
-14 is the answer
cos' -5 - 9 is like you owe 5 dollars and you owe 9 dollars that is you owe 14 dollars so because you owe it will be -14
Step-by-step explanation:
Please mark me as the brainliest. It really helps
5y^2+5−4−4y^2+5y^2−4x^3 −1
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 {x}^{3} + 6 {y}^{2} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 {y }^{2} + 5 - 4 - 4 {y}^{2} + 5 {y}^{2} - 4 {x}^{3} - 1}[/tex]
Collect like terms
⇒[tex]\sf{ 4 {x}^{3} + 5 {y}^{2} - 4 {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + {y}^{2} + 5 {y}^{2} + 5 - 4 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 5 - 4 - 1}[/tex]
Calculate
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} + 1 - 1}[/tex]
⇒[tex] \sf{4 {x}^{3} + 6 {y}^{2} }[/tex]
Hope I helped!
Best regards! :D
Plz help fast aaaaaaaaahhhhhhhh
Answers
Answer:
70
Step-by-step explanation:
250 costumers who bought gas
72% of the costumer made an additional purchases.
find:
how many of the costumers made additional purchases?
solution:
250 - (0.72 x 250) = 70
9. If DF = 42, find DE.
7x+1 4x-3
DEF what is DE
Answers
Answer:
29
Step-by-step explanation:
So DF = 42, And we know that DF = DE + EF
Therefore (7x+1) + (4x-3) = 42
11x -2 = 42
11x = 44
x = 4
Substitute x = 4 onto DE equation, so 7(4) +1
= 29.
The required measure of line segment DE is 29.
Given that,
A line segment DF is given,
E is a point on the segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.
A line is a straight curve showing the shortest distance between 2 points.
Here,
DF = DE + EF
From the given put the values of DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4
DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4 + 1
DE = 28 + 1
DE = 29
Thus, the required measure of the DE segment is 29.
Learn more about lines here:
brainly.com/question/2696693
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What is the number in scientific notation of 0.0765
Answers
Answer:
7.65x10^-2 should be your answer
Step-by-step explanation:
a middle school counselor randomly sampled students about their favorite subjects. According to the table, what is the total number of students participating in the random sample? answer
Answers
Answer:
67+72+65= 204
Step-by-step explanation:
Which is the measurement of 144 ounces? A: 12 pounds B: 9 pounds C: 18 pounds D: 16 pounds
Answers
Answer:
B
Step-by-step explanation:
because the mass value is 16 x 9pounds equals 144
B is the correct answer bro and girl
Which numbers in set A = {-7,-4,2,14,21,34,42} are elements of both set B and set C, shown below?
Set B= {even numbers} Set C= {multiples of 7}
_______ or ________
Enter answers from smallest to largest
Answers
Answer:
Hey there!
The numbers in set A and B are 14, and 42.
Let me know if this helps :)
Answer:
14 & 42
Step-by-step explanation:
Because they are the only even numbers found in set A. And also found in the multiplies of 7 in set B.
(01.05 LC)Which fraction is equivalent to negative 4 over 6? A.) 6 /-4 B.) - 6/4 C.) 4 /-6 D.) 4/6 I NEED HALP OR ELSE IMANA DIE HERE PLSS HELPPPPP!!!!!!!!
Answers
Answer:
C
Step-by-step explanat:
Hope thats right
Answer: -4 over 9 hope this works
Step-by-step explanation:
There are two diferent maps of Ohio.
◦The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 400km.
◦The scale on the second map is 1 cm to 50 km.
What is the distance from Cleveland to Cincinnati on the second map? Explain your reasoning.
Answers
Why might this information be important to Jack in the Box?
Answers
Answer:
They have the most sales on Thursdays, and the least sales on Friday, so they might want to have specials on Friday to get more people.
Brainliest for correct answer