Using shifting concepts, it is found that function g is given by:
[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]
--------------
Horizontally stretching a function f(x) a units is the same as finding [tex]f(\frac{x}{a})[/tex]Shifting a function f(x) a units to the left is the same as finding f(x - a).Shifting a function f(x) down a units is the same as finding f(x) - a.--------------
The parent function is:
[tex]f(x) = x^2[/tex]
--------------
Horizontally stretching by a factor of 2.
[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]
--------------
Shifting left 2 units:
[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]
--------------
Shifting down 4 units:
[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]
A similar problem is given at https://brainly.com/question/24465194
On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)?
A. pi/2 and 3pi/2
B. 0, pi, and 2pi
C.pi/2, pi, and 3pi/2
D.pi/2, 3pi/4, 5pi/4, and 7pi/4
Answer:
Choice D:
π/2, 3π/4, 5π/4, and 7π/4
Step-by-step explanation:
correct on edg
The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
y = cos(2x)
The x-intercept of the equation in the interval 0 ≤ x < 2π will be given as,
y = 0
cos(2x) = 0
cos 2x = cos (n + 1) π/2
2x = (n + 1)π / 2
x = (n + 1)π / 4
x = π/4, 3π/2, 5π/4, 7π/4
The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Find the slope between the points.
(4, -6) and (-2, 1)
Answer:
m = (y2-y1)/(x2-x1)
m = (1-(-6))/(-2-4)
m = 7/ -6
Prove the following
please help
Step-by-step explanation:
5. I assume you mean this:
(cos²x / sin x) + sin x
Add using common denominator.
(cos²x / sin x) + (sin²x / sin x)
(cos²x + sin²x) / sin x
Use Pythagorean identity.
1 / sin x
csc x
6. tan²x cos²x
Write tangent in terms of sine and cosine.
(sin²x / cos²x) cos²x
Simplify.
sin²x
Use Pythagorean identity.
1 − cos²x
does 9.03 + 10.71 – 6.8 =13.94
Answer:
No
Step-by-step explanation:
Let's break this down...
9.03+10.71 is 19.74 and subtracted by 6.8 it will be 12.94 not 13.94 so it is not correct
So the answer is No
Hope this helps!
Answer:
No, it is 12.94
Step-by-step explanation:
9.03 + 10.71 = 19.74, 19.74 - 6.8 = 12.94
In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.
Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
(SELECT TWO)
Answer:
If this is a multiple-choice, then you just have to pick the choices that are 3:1, but multiplied, like 6:2, 9:3, etc.
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80
Answer:
you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80
The sequence of transformations R0,90 r x-axis is applied to XYZ to produce X’’ Y’’ Z’’. If the coordinates of Y’’ are (3,0),what are the coordinates of Y?
Answer:
Y = (0, 3)
Step-by-step explanation:
Notice that the first the transformation is a rotation of 90 degrees around the origin, and then a reflection around the x axis.
If a reflection around the x axis resulted in (3, 0) that means the point was already on the x axis.
Then in order for a rotation in 90 degrees to take the point Y to (3, 0), Y must have been on the y-axis as (0, 3)
Answer:
Y = (0, 3)
Step-by-step explanation:
What is the solution to g-8= -24?
Answer:
g=16
Step-by-step explanation:
Answer:
g=-16
Step-by-step explanation:
find the mean of the data 5,5,8 set
Answer:
the mean is 6
Step-by-step explanation:
5+5+8= 18
then divide 18 by 3 bc there is 3 numbers and u get 6
hope this helps
When a standard pair of six sided dice are rolled, what is the probability of getting a 6?
(Express your answer as a decimal rounded to the thousandsth place.)
Answer:
0.5 because it has a total of 6 sides
The ruler is marked at every 1/16 inch. Do the labeled measurements convert to repeating or terminating decimals?
Answer:
Terminating
Step-by-step explanation:
1/16=0.0625, 1/8=0.125, 1/4=0.25, 1/2=0.5; which are all terminating.
Aaron charges $15 to mow the lawn and $10
per hour for other gardening work. Which
expression represents his earnings?
F. 10h
G. 15h
H. 15h+10
J. 15+10h
Answer:J
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$1.99 for 12 lb
The unit rate is $
Answer:
Convert to a decimal by dividing the numerator by the denominator.
0.17
dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
0.16583 (keep adding 3 at the end)
0.17 dollars per pound
Jamall has 20 mo of planes and cars. He has three times as many cars in points. What is the
But what is the question
If (8, 3) is rotated 90o about the origin the new point would be:
A.
(3, -8)
B.
(-8, 3)
C.
(-3, 8)
D.
(8, -3)
Answer:
A.
(3, -8)
Step-by-step explanation:
Answer:
C is the answer
Step-by-step explanation:
The rule is that(x,y)-->(-y,x) so therefore making it c
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
Log Flume
50
46
48
44
Answer:
hello your question has some missing part and the table as it relates better to the question
set up the ANOVA table ( to 1 decimal if necessary )
Step-by-step explanation:
attached below is the image of the Analysis of variance using Minitab software
Attached below as well is the Require Anova table
what's -7 / 8 × 6 / 9
Answer:
-7/12
Step-by-step explanation:
2.72981366 rounded to nearest hundredth
Answer:
I would say 2.73 or 2.72 l can never remember which it is
Step-by-step explanation:
Sorry if it’s wrong!!!
Answer:
2.73
Step-by-step explanation:
After three plays in which a football team lost 7 yd, gained 3 yd, and
lost 1 yd, respectively, the ball was placed on the team’s own 30-yd line.
Where was the ball before the three plays?
Answer:
25 Yard line was the previous location.
Step-by-step explanation:
-7+3-1= -8+3= -5
30-5=25.
The ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers?
Answer:
14 30
----- = ------
5
cross multiple 30(5)=150
divide 150/14= 10.7142857
idk if they want you to round but
11 or
10.7
Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water?
Answer:
16.5 hours
Step-by-step explanation:
Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!
Answer:
33/2 hours option 2
Step-by-step explanation:
Got it correct on edge :) hope it helps
Which type of line of symmetry does the figure have?
Answer:vertical
Step-by-step explanation:
Joseph read 9 books in 15 months. What was his rate of reading in books per month?
Answer: 0.6 books
Step-by-step explanation: Divide 9 by 15 to get 0.6 books a month.
( I think) I’ve done this before , this certain question.
4/7+2/3=??
Please explain to :)
Answer: 1 5/21
Step-by-step explanation: change 4/7 into 12/21 and 2/3 into 14/21. Now that you have a common denominator, add the numerators. 26/21. Simplify into 1 5/21
Which best describes the solution set of the compound inequality below?
Answer:
Option B. 4<=x<=6 is the solution set.
Write equation given linear situation
After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The
weight of the baby at birth was 10 pounds. Write an equation for W, in terms of t,
representing weight, in pounds, of the newborn baby t months after birth.
Answer:
W=1.5x+10
Step-by-step explanation:
1.5x is the rate of weight per month
10 is the constant (how much he/she weighed at birth)
John increased the amount of water he drinks every day from 20 fluid ounces to 48 fluid ounces. By what percentages did John increases the water he drinks?
A. 15%
B. 28%
C. 140%
D. 12.5%
Answer:
C. 140%
Step-by-step explanation:
In an office building, 42 offices are currently being rented. This represents 40% of the total units. How many offices are in the building?
Answer:As per problem, 60% units constitute 72 offices. Let total number of units be x.
Hence, 0.6x = 72
or, x = 72/0.6 = 720/6 = 120
HTH
Step-by-step explanation:
Which of the following is a proposed solution that is not a solution of the original equation?
an extraneous solution
conditional solution
an exponential solution
a radical solution
9514 1404 393
Answer:
an extraneous solution
Step-by-step explanation:
A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".
_____
Additional comment
Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.
Which is the best estimate of the product of 0.39 x 0.49?
0
0.25
0.5
1
Answer fast!! :c
Answer:
0.25 or b is the correct answer