Option (2). function f will be stretched away from the x-axis to form the image function f'.
Rule for the transformation of a function: For a function is given by,
f(x) = a(x - h)² + k
If a > 1, graph of the function will be stretched vertically (towards
y-axis or away from the x-axis).
If 0 < a < 1, graph of the function will be compressed vertically
(towards x-axis or away from the y-axis)
Function given in the question,
f(x) = (x - 1)² + 1
Transformed function → f'(x) = (13x - 1)² + 1
[tex]f'(x)=13(x-\frac{1}{13})^2+1[/tex]
By applying rule of the transformation,
a = 13 and 13 > 1
Therefore, function will be stretched vertically away from the x-axis.
Hence, Option (2) will be the answer.
Learn more about the transformations here,
https://brainly.com/question/19279703
Surface area question:
Answer:
190π (not part of the answer choices)
Step-by-step explanation:
The surface area of a cylinder can be found using the formula below:
[tex]SA=2\pi r^2+\pi dh[/tex] where [tex]r[/tex] is the radius of the base, [tex]d[/tex] is the diameter of the base and [tex]h[/tex] is the height of the cylinder.
Plug in the given values
[tex]SA=2\pi (\frac{10}{2}) ^2+\pi (10)(14)\\SA=2\pi (\frac{100}{4})+140\pi\\SA=2\pi (25)+140\pi\\SA=50\pi+140\pi\\SA=190\pi[/tex]
Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.
I hope this helps!
What’s the value of x?
Answer:
6*15 = 5(x+5)
90 = 5x + 25
65 = 5x
x = 13
Step-by-step explanation:
I've gone ahead and labeled some points.
There is a formula that says PA*PB = PC*PD, this is what you use. If you would like me to show why this works I would be happy to.
So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values
6*15 = 5(x+5)
90 = 5x + 25
65 = 5x
x = 13
EDIT: Here is the explanation for the formula
If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle. Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.
This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.
This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number
[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]
Sketch a graph of the function y = (x + 6)(x- 4)
Step-by-step explanation:
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Help plz. I don't get this.
Answer:
6/4
Step-by-step explanation:
up 6 and over 4
° • .°• ✯
° • .°• ✯ ★ * ° °·
° • .°• ✯ ★ * ° °· . • ° ★ • ☄
° • .°• ✯ ★ * ° °· . • ° ★ • ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂
Make a triangle to find c, the hypotenuse.
Using the Pythagorean Theorem:
a^2+b^2=c^2
4^2+6^2=c^2
16+36=c^2
52=c^2
7.211102550927=c
7.2~c
9. What is the inverse of y = 10x -2?
Answer:
f(x)^-1=x-2/10
Step-by-step explanation:
The area of a rectangle is 35x - 20. Find the length and width of the triangle. (Hint: Factor completely) Write your answer as a product. Ex: 8(3x-2).
Your mom is throwing a huge party for your graduation! Her total budget for the party is $1050. She must pay a fee of $400 to hold your party at Dave & Buster's. She is responsible for paying $50 for each guest so that they can eat and play. How many guests, g, can you invite to your graduation party?
Step-by-step explanation:
She has 1050
400 of that is the DB fee
Now she has 650 dollars
650/50 per person is 13
She can have 13 people
how long is the shorter ladder
10 - 6z = -104 *pls help me
Answer:
z=19
Step-by-step explanation:
Find the area of the blue shaded figure.
25 mm
120 mm
I’m begging atp. Please help me
area of blue shaded figure = area of big circle minus small circle
radius of big circle = 60mm
area of big circle= πr² = check pic
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
slope is 15/5=3
Step-by-step explanation:
Solve the system of equations by graphing.
y = 2x + 5
y = -1/2x
Where do the two lines cross?
can I get help with my homework
Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of rectangle A. B) The area of rectangle B is 1 9 the area of rectangle A. C) The area of rectangle B is nine times the area of rectangle A. Eliminate D) The area of rectangle B is three times the area of rectangle A
Answer:
I think it is 19 I not really sure
Step-by-step explanation:
o work it out of my paper and I got 19
Answer: The answer to this math question about finding the statement is very true about 2 similar rectangles are being shown here below is B). B) The area of rectangle B is [tex]\frac{1}{9}[/tex] of the area of rectangle A.
Step-by-step explanation: I'm very sorry about that, but I don't have any step-by-step explanation to this math question about finding the statement is very true about 2 similar rectangles are shown here below, so anyways, I hope that my full short given answer without my given step-by-step explanation to your own math question about finding the statement is very true about 2 similar rectangles are being shown here below, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Find the value of x.
Answer:
10
Step-by-step explanation:
7x+5 = 9x -15
5 = 2x -15
2x = 20
x = 10
5. Write an equation that models exponential decay.
Answer:
Step-by-step explanation:
y = ab^x where 0<b<1 for exponential decay
an example would be y = 3(1/7)^x
Fill in the table to convert the units of time from hours to minutes or minutes to hours.
Minutes Hours
60 1
300
4
if ABC is similar to DEF, determine the measure of A
Answer:
the answer is 66°
Step-by-step explanation:
As it is given that triangle ABC is similar to triangle DEF so
< A = < D ( being corresponding angles of similar triangles)
3x + 18° = 4x + 2°
4x - 3x = 18° - 2°
x = 16°
So now
< A = 3 * 16° + 18° = 66°
DE is a midsegment of AABC. Find the value of x.
A
х
D
B
E
6
-
X=
please HELP 30 points
PLEASE HELLPP!!!!! Don’t know what it is
Answer:
I think of having straight line
which inequality is true if p = 3.4
Question in photo! answer asap! will give brainliest!
Answer:
Option B
Step-by-step explanation:
When you put option b in y intercept form, the slope is -3/2 which is the negative reciprocal of 2/3, making the lines perpendicular.
3x + 2y = -4
-3x -3x
2y = -3x -4
/2 /2
y = -3/2 -2
Item 5
Find the area of the circle. Round your answer to the nearest hundredth.
area: about
cm2
What is the value of X
Answer:
11=x
Step-by-step explanation:
since the lines are parallel the distances between each section of line is proportional to each other.
5/6=(x-1)/12
multiply both sides by 12
12(5/6)=(x-1)12/12
10=(x-1)
add 1 to both sides
10+1=x-1+1
11=x
I hope that helps :)
I need help on how to get the answer too number 27.
Question 6
Find the slope of the line that passes through the pair of points.
(-3, 2), (7, 2)
Answer:
Slope = 0
Step-by-step explanation:
Given the pair of points: (-3,2) (7,2)
Slope formula: y2-y1/x2-x1
2-2/7-(-3) = 0/10
0/10 = 0
some one help me with this the highlighted one is the problem
I NEED HELP WITH ALL, MUST SHOW WORK!!! will give brainliest to the correct one!!!
Marshallhasalreadyjarred1literofjamandwilljaranadditional7litersofjameveryday.HowmanydaysdoesMarshallneedtospendmakingjamifhewantstojar22litersofjaminall?
Answer:
thanks for the points, don't forget to drink water
explanation:
give me crown please
Three-twelfths of the girls on Jamilia’s softball team missed practice. Which of the following is equal is equal to 3/12?