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
use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)^x-5+8 you may wish to grab it and its parent function y=0.5^x on the same axes
The parent function y=0.5^x is _____ across its domain because its base b is such that
First box is: decreasing
Second box: 0< b< 1
Third box: Up
Fourth box: Right
The parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
What is translation of a function?Translation of a function is shifting the function from its original place in the graph.
Types of translation -
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)+c shifts the graph c units down and by replacing parent function with f(x)-c shifts the graph b units up.
The functions of the graph given in the problem as,
[tex]f(x) = (0.5)^{x-5}+8[/tex]
The parent function of the graph is,
[tex]y=0.5^x[/tex]
In the parent function, the 5 units subtracted, and 8 units added outside the function. Thus, the function shifts the parent function 8 units up and 5 units right.
Thus, the parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
Learn more about the transition of a function here;
https://brainly.com/question/626170
what is the opposite of -20?
Answer:
its 20
Step-by-step explanation:
City y is 10 miles north of city x city z is 24 miles east of city x how long is the straight roads connecting cities y and z?
Answer:
26 miles
Step-by-step explanation:
Using Pythagoras rule :
d = straight road connecting city Y and Z :
d = sqrt(xy² + xz²)
d = sqrt(10² + 24²)
d = sqrt(100 + 576)
d = sqrt(676)
d = 26 miles
how do I change 2y = 3x + 8 into slope-intercept form?
Help out a bro will give Brainly
find the value of given expression
[tex] \sqrt{312 \times 312} [/tex]
Step-by-step explanation:
[tex]
\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312
[/tex]
Hope it will help :)❤
Answer:
√{312×312}=√312²=±312 is your answer
2(6+2x-1) pleas help fast
Answer:
4x+10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
2(6+2x-1) = 8. Mark me Brainliest.
The ages of three brothers are consecutive integers. The sum of their ages is 63. Find their ages.
Write down the number eleven thousand,eleven hundred and eleven in figures
Answer:
12,111
Step-by-step explanation:
Please help me this is my final!!!
Answer:
final for what?
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
Okay since the exterior angles of every polygon is always 360
and this polygon has 40 sides,
360/40=9
180-9=171
Hope This helps
(what grade is this?)
There is 5 yellow 3 red 4 green 2 blue and 2 white what is the probability of picking white then green
Answer:
2 (I think)
Step-by-step explanation:
4-2=2
Answer:
1/30
Step-by-step explanation:
the probability of picking white is 2/16 simplified to 1/8
the probability of picking a green would equal to 4/15
notice that it is not 4/16, because you already picked out one of the colours, and you are not replacing it, so if you take it out, then there is 15 left to pick from.
you would then multiply
1/8 x 4/15
= 4/120
simplified to
1/30
Choose the longer measurement
14 inches 1 foot
Answer:
tue
Step-by-step explanation:
Answer:
it 14 inch because 1 foot is 12 inches, and 14 inches is greater
Step-by-step explanation:
A tree casts a shadow 31 feet long when the angle of
elevation of the sun is 58º. Find the height of the tree.
Answer:
x=24.2198542
ROUND IF NEEDED
Step-by-step explanation:
We are trying to find the height of the tree or the vertical side
We are given
The angle of elevation or the angle at the ground ,38The horizontal length, 31.Since we have a side that is adjacent to that angle and we are trying find backside that us opposite of that angle
we are going to use tangent
[tex] \tan(x) = \frac{opp}{adj} [/tex]
plug 38 in for x or theta, x for opp side and 31 for adjacent side
[tex] \tan(38) = \frac{x}{31} [/tex]
Multiply 31 by both sides to find x
x=24.2198542
ROUND IF NEEDED.
Determine the y intercept I don’t know how please help
Answer:
(0, -2)
Step-by-step explanation:
Since line is intersecting y axis at point (0, - 2)
Hence, y-intercept = (0, - 2)
A cube has a side that
measures 4 inches. What is
the volume of the cube?
Answer:
4*4*4 = 64, so the volume is 64 inches cubed
Step-by-step explanation:
$13,000 for 8 years at
3.6% annual
simple
interest
How many of the small prisms would it take to completely fill up the larger prism (I need helpppp)
Answer:
we need the mesurmwnt of the prismms dude
Step-by-step explanation:
Jacob has an $8 gift certificate to use
at a toy store. He decides to buy a toy
airplane that costs $8.61, and 3 toy
cars that cost $2.85 each.
If Jacob uses his gift certificate, how
much money will he need to pay?
What is the nth term of the sequence 2,5,10,17,28.. ?
n² + 1 = 2 5 10 17 26. So the nth term of the sequence is n²+1.
Find the surface area.
5 cm
14 cm
9 cm
3 cm
Answer:C. 2/3 cm/s
Step-by-step explanation:
Please. I’m begging for help. I have no idea what to do. Could you possibly explain on how to do it
I want to give away some points so whoever can answer 1+1 your a big brain and deserve the points!
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: 1 2 3 so 1 + 1 is 2
PLZ HELP ME WITH THIS, IT COMES WITH AN EXAMPLE AND A QUESTION!?!!?
Answer:
-6(-8.5) = 51
Step-by-step explanation:
-8 1/2 is also -8.5
-6(-8.5) = 51
Answer:
cool
Step-by-step explanation:
very nice
hi hi hi hi hi help help help help
Answer:
rate
Step-by-step explanation:
r(t)=d
r=d/t
r=miles/hour=mph
r=12
Answer: I THINK it’s d
Step-by-step explanation:
Can someone plz help me with this??
Answer:
it's the second choice (3=3)
Answer:
y = - x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute (1, 3 ) into the partial equation
3 = - 1 + c ⇒ c = 3 + 1 = 4
y = - x + 4 ← equation of line
solve
plz -4p-2r-15p
Answer:
-2r-19p
Step-by-step explanation:
-4p-2r-15p
add like terms
-2r-19p
45 is what percent of 60
Answer:
75%
Step-by-step explanation:
[tex]\frac{x}{100} = \frac{45}{60}[/tex]
45 x 100 = 4,500
4,500 divided by 60 = 75
Question 4
Simplify the expression by combining like terms
Expression: -8yº - 9y +13y - 11y
Like Terms:
Simplified Expression:
I
Answer:
-8y° -7y
Step-by-step explanation:
Like terms:
13y-11y-9y= -7y
-8y°= -8y°
Simplified Expression:
-8y°-7y
Maura is going to hire a makeup artist for a fashion show and is comparing prices. Evelyn charges $19 as a booking fee and an additional $89 per hour. Brenda charges $87 per hour, plus a booking fee of $21. Depending on the length of the show, the cost could end up being the same for either artist. How long would the show be? What would the cost be?
Step-by-step explanation:
Evelyn: Y=89x + 19
Brenda: Y=87x + 21
Punch in numbers for X until you get the same for both. Remember that X is hours and Y is total. the numbers with no letters is the fixed booking amount. cheers. Good luck :)
Please help I am so stuck