Given:
The parent function is:
[tex]f(x)=x^2[/tex]
This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.
To find:
The function after the given transformations.
Step-by-step explanation:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] ... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If k<0, then the graph of f(x) is reflected over the x-axis.
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.
It is given that the graph of f(x) shifts 1 unit left, so a=1.
The graph of f(x) vertically stretch by a factor of 3, so |k|=3.
The graph of f(x) reflected over the x-axis, so k=-3.
There is no vertical shift, so b=0.
Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get
[tex]g(x)=-3f(x+1)+0[/tex]
[tex]g(x)=-3f(x+1)[/tex]
[tex]g(x)=-3(x+1)^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the correct option is B.
help pleaseee
find the equation of the line passing through (-5, -4) and (13, 5)
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-4) / 13 - (-5)
9 / 18
1/2
y = 1/2x + b
-4 = 1/2(-5) + b
-4 = -5/2 + b
-3/2 = b
If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec
θ
secθ in simplest radical form.
Given:
θ is an angle in standard position.
Its terminal side passes through the point (6,1).
To find:
The exact value of secθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]
It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]
Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].
I need help thank you
Answer:
9 is the answer
Step-by-step explanation:
You will multiply 3x3 and 9x1 it will have the least common denominator
Can someone help me please TwT
Solve for x and show your work.
• GIVING BRAINLIEST!
A line is parallel to 5x+2y-8-0 and has the same y-intercept as x+4y-12-0.
Find the equation for the line in slope y-intercept form
Answer:
y=(-5/2)x+3
Step-by-step explanation:
5x+2y-8=0
2y=-5x+8 Divide with 2
y=(-5/2)x+4
Slope is dy/dx
dy/dx=-5/2
x+4y-12=0 for x=0
4y-12=0
4y=12 Divide with 4
y=3 y-intercept
Line equation:
y = mx + b
This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.
m-5/2 b=3
Euation for the your line:
y=(-5/2)x+3
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
isn't that the same as before? :D
number 1 and 2 pls help me
the cost price of a dress is $640. At a sale 20% discount is given. What is the selling price of the dress.
A. $128,
B.$512
C. $660,
D. $768
Answer:
512$
Step-by-step explanation:
640$-640$.20/100=512$
Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?
A. 2x+ 1
B. 3x-5
C. 4x-1
D. 4x+6
Someone help me with this one
Answer:
p' (4,-2)
Step-by-step explanation:
P is at ( -1,5)
We are moving it 5 units to the right so add 5 to the x
We are moving it 7 units down so subtract 7 from the y
p'( -1+5, 5-7)
p' (4,-2)
Round 0.006772 to 1 significant figures.
Answer:0.007
Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.
0 is insignificant
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Answer:
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Step-by-step explanation:
Liam spent $4.76 on a salad bowl, and $3.81 on a cup of coffee. He paid using TWO ten dollar bills. What was Liam's change?
Answer:
11.43
Step-by-step explanation:
You can start this by adding the total cost of the salad and the coffee.
4.76 + 3.81 = 8.57
Then you have the paid amount of 20 bucks because there was two tens.
20 - 8.57 = 11.43.
Use the Distributive Property to find 1/3×6 1/2.
ILL MARK YOU SOMETHING LIKE BRAINY GENIUS
Answer:
2 1/6 or 13/6
Step-by-step explanation:
Equation: [tex]\frac{1}{3}[/tex] × 6[tex]\frac{1}{2}[/tex]
Distribute: (1/3) ( 6 + 1/2)
(1/3)(6) + (1/3)(1/2)
2 + 1/6
2 1/6 or 13/6
Please help me with this
Divide using long division! Show your work. As soon as possible!
Answer:
Step-by-step explanation:
if you've any doubt just ask :)
what is the distributive property of 6(14+7)
Answer:
126
Step-by-step explanation:
6 (14 + 7)
6 (21)
126
Plz help I'll give u brainlyest
Solve the equation. 9a = 81 what does a equal
Answer:
a=9
divide 81 by 9 on both sides and you get 9.
Step-by-step explanation:
Answer:
a = 9
Step-by-step explanation:
To solve this equation for a, divide both sides by 9.
The result is a = 81/9, or a = 9.
Which of the following expressions represents the distance between-1/4 and 3/4
Answer:
|-1/4 - 3/4|
Step-by-step explanation:
To get the distance, take the absolute value of the second point minus the first point
| 3/4 - - 1/4|
|3/4 + 1/4|
We can also take the absolute value of the first point minus the second point
|-1/4 - 3/4|
1. What is the equation of the vertical line that passes through the point (3, 4)?
2. What is the equation of the horizontal line that passes through the point (3,4)?
Answer:
1. the Equation of vertical line=> x=3
2. the Equation of horizontal line
=> y = 4
Answer:
y=4
Step-by-step explanation:
PLEASE HELP Which composition of similarity transformations
maps ALMN to A L'M'N'?
a dilation with a scale factor less than 1 and then a
reflection
a dilation with a scale factor less than 1 and then a
translation
a dilation with a scale factor greater than 1 and then
a reflection
a dilation with a scale factor greater than 1 and then
a translation
Answer:
a dilation with a scale factor greater than 1 and then a translation (the last option)
The composition of transformation is a dilation with a scale factor greater than 1 and then a translation.
What is Translation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears.
We have a transformations maps LMN to L'M'N'.
As the size of Triangle L'M'N' is larger as compared to LMN.
The compression is represented by a scale factor with an absolute value between 0 and 1, while the enlargement is represented by a scale factor with an absolute value greater than 1.
Thus, dilation with a scale factor greater than 1 and then a translation.
Learn more about Translation here:
brainly.com/question/3455238
#SPJ5
Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
»»————- ★ ————-««
Here’s why:
The average is found by dividing the sum of the values by the number of values.⸻⸻⸻⸻
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
⸻⸻⸻⸻
The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.
"At least" indicates a greater than or equal to inequality.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
An architect drew plans for an office building.
The building will have the dimensions shown.
Building is made up of 2 cuboids. First cuboid has length as 10 ft, height as 12 ft and width as 10ft. Second cuboid has length as 10 ft, height as 30 ft and width as 10 ft.
Part A
Which is an expression for the total volume of the building?
A. (20 × 10 × 30) + (12 × 10 × 10)
B. (10 × 10 × 30) + (10 × 10 × 12)
C. (30 × 10 × 10) + (10 × 10 × 20)
D. (10 × 20 × 30) + (10 × 12 × 20)
Part B
What is the volume of the building? Enter your answer in the box.
ft3
Answer:
b
Step-by-step explanation:
151°
116°
135°
139°
101°
136° 164°
What is the value of x? PLEASE HELP
A shop keeper buys a pair of shoes for birr 180 and sells it for birr 225 what is the percentage profit
Answer:
Percentage profit = 20%
Step-by-step explanation:
Given the following data;
Cost price = birr 180
Selling price = birr 225
To find the percentage profit;
First of all, we would determine the profit;
Profit = selling price - cost price
Profit = 225 - 180
Profit = birr 45
Next, we would determine the percentage profit;
[tex] Percentage \; profit = \frac{profit}{selling \; price} * 100[/tex]
[tex] Percentage \; profit = \frac{45}{225} * 100[/tex]
[tex] Percentage \; profit = 0.2 * 100[/tex]
Percentage profit = 20%
The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.
Write and solve an equation to find the number n of pages in the geometry book.
Answer: An equation is *629 = n - 99. The geometry book has 728 pages*
Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.
Hope this helps! :)
f(n) = 4n +7
Is it geometric or arthmetric
Answer:
geomatric
Step-by-step explanation:
Answer:
Arithmetic
Step-by-step explanation:
The difference between terms is constant
Find the volume. Whoever answers I will reward the brainliest please help
Answer:
A. 900 un³
Step-by-step explanation:
Volume = Area triangle x height
Area triangle = 1/2 (15 x 8) = 1/2(120) = 60
60 x 15 = 600 + 300 = 900 un³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K