Given:
The parent absolute function is
[tex]f(x)=|x|[/tex]
To find:
The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Parent function is translated up by 5 units. So, b=5
It is vertically stretched by a factor of 3. So, k=3.
There is no horizontal shift. So, a=0.
Now, putting k=3, a=0 and b=5 in (1), we get
[tex]g(x)=3f(x+0)+5[/tex]
[tex]g(x)=3f(x)+5[/tex]
[tex]g(x)=3|x|+5[/tex] [tex][\because f(x)=|x|][/tex]
Therefore, the correct option is D.
Jen and Kamlee are walking to school. After 20
minutes, Jen has walked 45
mile. After 25
minutes, Kamlee has walked 56
mile.
Question 1
Part A
Find their speeds in miles per hour.
Enter the correct answers in the boxes.
Answer:
Fghcv
Step-by-step explanation:
Gvhv
What is the opposite of 3 over 4
Answer:
Step-by-step explanation:
Explanation: There is nothing known as opposite in algebra. If you mean additive inverse it is 34 and if you mean multiplicative inverse or reciprocal it is −43 . multiplicative inverse, also called reciprocal, is the number which when multiplied with the number results in 1 , the multiplicative identity element.
Answer:
The opposite of 3/4 would be 4/3, simplified would be 1 1/3.
Step-by-step explanation:
Help please PSLSPSLSLS PSLS someone -hh
Answer:
4 23/40
Explanation:
Answer:
Second Option, 4 23/40
Step-by-step explanation:
7 3/8 = 59/8
2 4/5 = 14/5
14 x 8 = 112
5 x 8 = 40
112/40
59 x 5 = 295
8 x 5 = 40
295/40
295 - 112 = 183
183/40 = 4 23/40
Oscar chose A as the correct answer. How did he get that answer?
how am i supposed to know if you dont give the whole question.
Step-by-step explanation:
Can you predict the out come of multiplying 750 by 0.1 without calculating? If so, how?
Answer:
yes
Step-by-step explanation:
0.1 is the same as 1/10 so you can just divide 750 by 10
A history teacher is writing a test worth 100 points. She uses multiple choice questions worth six points each and true false questions worth two points each. She wants to test to have three times as many multiple-choice questions as true false questions. M represent the number of multiple choice questions on a test and let T represent the number of true false questions. Which system of equations can be used to find how many of each type of question she should write?
Answer:
15 multiple choice 5 true false
Plzzzzz give me Brainliest!!!!!
A $320 scooter is on sale at 30% off. Find the sale price.
A. $96
B. $224
C. $279
D. $290
Answer:
B
Step-by-step explanation:
320×.30=96
320-96=224
Answer:
B. $224
Step-by-step explanation:
30% of 320 is 96
320-96=224
A. Proportional side lengths
B. Same size
O C. Congruent
D. None of the above
write an equation to represent the N'th term of the sequence (2,-1.-4,-7,...)
Answer: a(n) = 5 - 3n
the sequence has:
a1 = 2
a2 = -1
a3 = -7
.........
we can see that: a2 - a1 = a3 - a2 = -3
=> the sequence is a arithmetic sequence
=> the distance between the numbers is d = -3
because this sequence is a arithmetic sequence
=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n
Step-by-step explanation:
I don't really get how to do this
Answer:
you got to put them in order like you got to figure out witch one is smaller then u keep going until u figure out the bigest.....
Step-by-step explanation:
Answer:
15.5, 16 and 1/4, 16.60, 16.7, 16 and 3/4, and 16.83.
Step-by-step explanation:
Hope it helps!
PLEASE HELP I NEED THIS!
Answer:
Step-by-step explanation:
Each tick is 0.1
So for example:
2.8 would be the eighth tick between 2 and 3.
-0.9 would be between 0 and -1 and will be the ninth tick.
rename the quadratic function f(x)=-2(x+4)^2-5 in standard form.
Answer:
function: x=-4
y-intercept: f(0)=-37
Step-by-step explanation:
hope this helps!
The quadratic function f(x) = -2(x + 4)^2 - 5 in standard form is:
f(x) = -2x² - 16x - 37.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To rename the quadratic function f(x) = -2(x + 4)^2 - 5 in standard form, we need to expand and simplify the expression:
f(x) = -2(x + 4)² - 5
f(x) = -2(x² + 8x + 16) - 5
f(x) = -2x² - 16x - 32 - 5
f(x) = -2x² - 16x - 37
Therefore,
The quadratic function f(x) = -2(x + 4)^2 - 5 in standard form is:
f(x) = -2x² - 16x - 37.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
For which points is the x-coordinate less than 3?
Amelia works for 6 hours and earns $48.00. The graph shows the relationship between the number of hours Amelia works, x, and the total amount she earns, y. Which point represents the number of dollars Amelia makes per hour? Amelia's Earnings Total Earnings (dollars) Hours Worked Standard 7.RP 2.0 O (1,8) O (8.1) O (6,48) O (48.6)
Answer: Pretty sure its four or its not
Step-by-step explanation:
can anyone help me ??
i’ve been struggling for the past hour !!
Answer:
1. y = 1/2x + 2
2. y = 3x + 1
3. y = 1/2x - 2
4. y = 3x - 1
Step-by-step explanation:
h(t)=- 16t^2 +16t+12 zeros of the parabola
Step-by-step explanation:
h(t) = -16t² + 16t + 12
h(t) = -4(4t² - 4t - 3)
h(t) = -4(2t - 3)(2t + 1)
When h(t) = 0, we have t = 1.5 or t = -0.5.
Hence the zeroes are 1.5 and -0.5.
Annie was eating starburst candy . She has eaten 34% red,1/5 yellow 3/10 pink and the rest were orange . What color had the most candies?
Answer:
red
Step-by-step explanation:
34%
1/5
3/10
convert them all to x/100 fractions:
34/100
20/100
30/100
this means that red has the most amount because it has the largest fraction
Answer:
the answer is red 34% I'm pretty sure
NEED HALP PLEAAAASE!!! I REALLY DONT GET THIS-
Answer:
48
Step-by-step explanation:
1200/25=48
Callie has 60 beads. She wants to make 8 identical bracelets and use as many beads as possible on each bracelet. How many beads will be on each bracelet?
Answer:
7 beads
Step-by-step explanation:
First you need to divide the amount of beads she has by the amount of bracelets she wants to make. 60/8=7.5. Because you cannot have half beads, you need to round down.
Answer:
7 beads will be on each bracelet.
Step-by-step explanation:
60/8 is 7.5
7.5 simplified is 7
MARK BRAINLIEST PLEASE ;-;
a) What is the name of the part of the circle shaded green?
b) What is the name of the part of the circle shaded blue?
q
c) What is the name of the red part of
the circle from p to q?
d) What is the name given to the
distance all around the circle?
p р
Answer:
a) sector, b) segment, c) arc, d) circumference
Step-by-step explanation:
If an exponential function has the equation y = a*b^x+ C, what will the horizontal asymptote
be?
Answer:
yuki.ki
Step-by-step explanation:
If a diver jumps out of the boat on Higgins Lake, at sea level, and descends 136 feet, how many feet must the diver ascend to get back to sea level?
Answer:
he needs to swim back up 136 feet
Step-by-step explanation:
im VERYYYY sorry if this is wrong
Water waves in a tank are 10 cm long. If they pass a point at a rate of 3.75 waves per second, what is their speed in m/s?
Answer:
0.0267m/s
Step-by-step explanation:
Given the following
Length of the wave = 10cm = 0.1m
Time taken = 3.75seconds
Required
Wave speed in m/s
Speed = Distance/Time
Substitute the given values into the formula
Speed = 0.1/3.75
Speed = 0.0267m/s
Hence the speed of the wave in m/s is 0.0267m/s
Answer: 0.0267m/s
Step-by-step explanation: Hence the speed of the wave in m/s is 0.0267m/s because the Length of the wave = 10cm = 0.1m
Wave speed in m/s
Speed = Distance/Time
Substitute the given values into the formula
Speed = 0.1/3.75
Speed = 0.0267m/s
A certain paint is to be mixed with 3 parts yellow to 2 parts blue. Twelve gallons of mixed paint are needed. How many gallons of blue must be used
Answer:
[tex]Blue = 4.8 \ Gallons[/tex]
Step-by-step explanation:
Given
[tex]Y : B = 3 ; 2[/tex]
Required
Find the number of blue paints in 12 gallons
Start by representing the blue part of the ratio as a fraction
[tex]Y : B = 3 ; 2[/tex]
[tex]B = \frac{2}{2 + 3}[/tex]
[tex]B = \frac{2}{5}[/tex]
This means that:
[tex]Blue = \frac{2}{5} * 12\ Gallons[/tex]
[tex]Blue = \frac{24}{5} \ Gallons[/tex]
[tex]Blue = 4.8 \ Gallons[/tex]
A scientist is comparing the size of two one insect is 1.33 cm long and the other insect is 2.01 cm long which is the difference in size between the two and insect
Answer:
Step-by-step explanation:
if one insect is 2.01 and the other 1.33
2.01-1.33=0.68 cm difference between insects
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation? A. (x, y) --> (x, -y) B. (x,y) --> (-x, y) C. (x, y) --> (-x, -y) D. (x, y) --> (y, -x)
Answer: D. (x, y) --> (y, -x)
Step-by-step explanation:
The rule for a 90° clockwise rotation about the origin results in a transformation as : (x, y) --> (y, -x)
The rule for a 90° counterclockwise rotation about the origin results in a transformation as : (x, y) --> (-y, x)
For 180° rotation abiut the origin : (x, y) --> (-x, - y)
For 270°:
clockwise rotation : (x, y) --> (-y, x)
Counterclockwise rotation : (x, y) --> (y, -x)
Answer:
D
Step-by-step explanation:
ovided line. (1 pt. each)
9.)Write 4x - 2y = -6 in function form
A) y = 3x + 2
B) y = 2x - 3
C) y = 2x + 3
Meeting now 16:47
D) -2y = -4x - 6
Answer:
The function form of the given equation
y = 2 x + 3
Step-by-step explanation:
Explanation:-
Given 4x - 2y = -6
4 x + 6 = 2 y
[tex]y = \frac{4x}{2} + \frac{6}{2}[/tex]
y = 2 x + 3
The function form y = f(x)
The function form of the given equation
y = 2 x + 3
Is it safe to let go of the flying fox shown alongside when you are 3m above the ground. How far can you travel along the flying fox before letting go?
Answer:
55
Step-by-step explanation:
ergwrthrthteyjet
1 times 55 equals 55
evaluate 5 ( n -3) + 2 when n = -3
Answer:
The answer is -15.
Step-by-step explanation:
[tex]5(n - 3) + 2 \\ 5( - 3 - 3) + 2 \\ 5( - 6) + 2 \\ - 30 + 2 \\ - 15[/tex]
One more for today since I couldn’t find the answer