HELP!!!!!!!
Functions f(x) and g(x) are shown:
f(x) = x2 g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units
Answers
Answer:
Option A, Left by 4 units
Step-by-step explanation:
Step 1: Convert g(x) to a function square
We currently have g(x) in this order: [tex]ax^2 + bx + c[/tex]
However, we want g(x) to be in this order: [tex](ax + c)^{2}[/tex]
The first thing we have to do is to factor it out:
[tex]g(x)=x^{2}+8x+16[/tex]
[tex]g(x) = (x + 4)(x + 4)[/tex]
[tex]g(x) = (x+4)^{2}[/tex]
Step 2: Now we can see which way we need to move it
The original form is: [tex]f(x) = (ax - b)^{2}[/tex]
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
Look at the graphs below to make sure:
Answer:
A.) Left By 4 Units
Step-by-step explanation:
Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16
The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.
Given,
f(x) = x²
g(x) = x² + 8x + 16
we have to consider, the dependent term while selecting the direction.
Therefore, except x², only x term is dependent term.
In g(x), the x term is given by 8.
Therefore, we need to shift the f(x) left by 4 units.
Therefore, option A is correct.
Related Questions
f(x)= 3x+10 and g(x)= 3x-7
Answers
Answer:
1. x=-10/3
2. x=7/3
Step-by-step explanation:
plsssssssss mark me brainliest I need one more
NEEd help quickly please!!! The basketball game had 500 people in attendance. If the ratio of Pioneer fans to Lion fans is 15:5, how many MORE Pioneer fans were there? Pls use tape diagram.
Answers
Answer:
Step-by-step explanation:
15(500/20)-5(500/20)
375-125
250
There were 250 more Pioneer fans than Lion fans.
American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs score in American League and National League stadiums for the first half of the 2001 season. **American:** 11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3 **National:** 14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9 (a) Create two box plots to display this data and comment on what you see. (b) Estimate the mean number of runs scored in American League games with a 95% CI. What concerns do you have about making a similar CI for National League games
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
**American:**
11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3
**National:**
14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9
Kindly view attached picture for boxplot :
Using the relation :
Mean ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
National league :
Mean = 9.58125
Standard deviation = 1.5
9.58125 - 1.96 * 1.5/4 = 8.84625
9.58125 + 1.96 * 1.5/4 = 10.31625
(8.84625 ; 10.31625)
American League :
Mean = 9.807
Standard deviation = 0.805
9.807 - 1.96 * 0.805/sqrt(14)= 9.3853152
9.807 + 1.96 * 0.805/sqrt(14) = 10.228684
(8.84625 ; 10.31625)
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answers
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
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1. The temperature on a winter night in Kansas is - 6 Celsius. The
temperature decreases by 8 Celsius. What is the new temperature, in
degrees Celsius? *
Answers
if the function f(x)=2x-3 and g(x)= 3/2x + 1 which is a tru statement?
1- f(0)>g(0)
2- f(2)=g (2)
3- f(8)=g(8)
4- g(4)<f(4)
Answers
Answer: 3 f(8)=g(8)
Step-by-step explanation:
2(8)-3=3/2(8)+1
16-3=12+1
13=13
Answer:
3 is true
Step-by-step explanation:
f(x) =2x - 3→ 2*8 - 3 =13
g(x) = 3/2x + 1 → 3/2(8) + 1 = 3*4 +1 = 14
The table below gives a record of variations of the values of y with the values of x. Draw a scatter plot for the data.
Answers
Answer:
can you please show the table as it is not here
Find k so that 9x^2-48x+k is the square of a binomial.
Answers
Answer:
Step-by-step explanation:
The discriminant must be zero.
Discriminant = (-48)^2 - 4*9k = 2304 - 36K
36k = 2304
k = 64
Using the square of a subtraction, it is found that k = 64.
What is a square of a subtraction?It is a notable product, given by:
[tex](ax - b)^2 = a^2x^2 - 2abx + b^2[/tex]
In this problem, the expression is:
[tex]9x^2 - 48x + k[/tex]
We want it to be the square of a binomial, hence:
[tex]a^2x^2 - 2abx + b^2 = 9x^2 - 48x + k[/tex]
Then, comparing both sides, first the value of a is found:
[tex]a^2 = 9[/tex]
[tex]a = \sqrt{9}[/tex]
[tex]a = 3[/tex]
Then, with the second term, the value of b is found.
[tex]2ab = 48[/tex]
[tex]6b = 48[/tex]
[tex]b = \frac{48}{6}[/tex]
[tex]b = 8[/tex]
Finally, the value of k is found.
[tex]k = b^2 = 8^2 = 64[/tex]
You can learn more about the square of a subtraction at https://brainly.com/question/9239489
Please help me out on this questionnnnn
Answers
Answer:
20 cubic feet.
From feet: length (ft) × width (ft) × height (ft) = cubic feet.
From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet.
From yards: length (yd) × width (yd) × height (yd) × 27 = cubic feet.
If you need to convert to cubic feet from inches: divide the final number (i.e. the total you get after multiplying the three dimensions together
2.
Chad drove 168 miles in 3 hours.
Part A
How many miles per hour did Chad drive?
Enter your answer in the box.
56
miles per hour
Part B
Chad will drive 672 more miles. He continues to drive at the same rate.
How many hours will it take Chad to drive the 672 miles?
Enter your answer in the box.
C
hours
Answers
Answer:
Part A) 56 mph
Part B) 12 hours
Step-by-step explanation:
Part A) 168/3 = 56 mph
Part B) 672/56 = 12 hours
what is the distributive property for 15x+25?
Answers
Answer:
5(3x+5)
Step-by-step explanation:
Answer:
5(3x + 5)
Step-by-step explanation:
Factor out 5 of 15x + 25 then you'll get your answer.
Hope this helps:)
I will gicve you 80 points if answered correctly
Answers
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is StartFraction 15 x over 4 EndFraction minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?
79
88
111
129
Answers
Answer:
111
Step-by-step explanation:
A variable is a letter, for example x, y or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Answer:
C
Step-by-step explanation:
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answers
Answer:
This answer is on quizlet
Step-by-step explanation:
Answer:3255.20
Step-by-step explanation:
First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.
Interest =0.27612×$2,400=$55.20
Then add the interest to the unpaid balance.
Total Balance =$3,200+$55.20=$3,255.20
The Booster Club sells meals at basketball games . Each meal comes with a choice of a main: hamburgers , pizza , hot dogs, cheeseburgers , or tacos, and a choice of a drink: root beer, lemonade, milk, coffee, tea, or cola. How many possible sandwich/drink combinations are there? (Show work) (2 pts)
Answers
30 combinations is the answer.
Step-by-step explanation:
Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.
And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.
So, possible combination can be = combinations.
For a rhombus, which of the following statements are true? (select all that apply)
1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent
Answers
Answer: 1,4,6
Step-by-step explanation:
https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/
Find the value of (x+5) (x+2)+(x-3) (x-4) in its simplest form. What is the numerical value when x = -6?
Answers
Answer:
[tex]( - x + 5)(x + 2) + (x - 3)(x - 4)[/tex]
where as; x = - 6
Solution
[tex](x + 5)(x + 2) + (x - 3)( x - 4)[/tex]
[tex]( - 6 + 5)( - 6 + 2) + ( - 6 - 3)( - 6 - 4)[/tex]
[tex] (- 1)( - 4) + ( - 9)( - 10)[/tex]
[tex]4 + 90[/tex]
[tex]94[/tex]
The answer is 94.
Hope it's correct!Please mark me as brainliest☺!!Thanks☺!!!
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
Which graph represents-5x+4y≥-1?
Answers
Answer:
D!
Step-by-step explanation:
Desmos has a free graphing calculator for future references :)
PLEASE HELP ME I NEED THE ANSWER FAST.
Answers
Answer:
126
Step-by-step explanation:
9 by 10 is 90
9 by 4 is 36
90+36= 126
Hope this helps <3
Find the highest common factor (HCF) of 90 and 126
Answers
Answer:
18
Step-by-step explanation:
18*5=90
18*7=126
If you answer this you will get 69 points but please answer asap
Answers
Answer:
I think the answer for the first one is 3 I am not sure about the second one
please help i'm really stuck
Answers
Answer:
The scale factor is 1 : 3, and the missing length is 8
Step-by-step explanation:
The scale factor: 7/21 = 1/3, 6/18 = 1/3
The missing length: 24/3 = 8 or 8/24= 1/3
If it is right can you please give me a brainliest. Pls. It is fine if you didn't bu here's the answer
Answer:
so that will be 6^2 7^2 then square root it
Help
Select all that apply
Answers
Answer:
A, D
Step-by-step explanation:
It's basic math, height times length = Area.
Answer:
A and D are the only ones that i can see that would be correct
Step-by-step explanation:
Factorise
1) 9a^2 - 6a
Answers
Answer:
9a^2 - 6a
taking common
3a(3a-2)
5. Mrs. Hilt's yard is 48 feet long and 39 feet wide. What's the area of Mrs. Hilt's back yard?
Answers
area = lw (length times width) so if we multiply 48 and 39 it'd be equal to
1872
What divides a design so that every point on one side of the line coincides
with a point on the other side of it?
A. Equator of symmetry
B. Point of symmetry
C. Line of symmetry
D. Symmetrical half life
Answers
The design that every point on one side of the line coincides with a point on the other side of it is Line of symmetry
What is Symmetry?Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape.
A circle or band that divides a body's surface into two typically equal and symmetrical portions.
When a shape or item has a central point, point symmetry occurs when all points on the opposing sides are at the same distance from the centre.
The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves.
It denotes that one half is the other half's mirror image.
Thus, the required design is Line of Symmetry.
Learn more about Symmetry here:
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PLEASE ANSWER ASAP WITH SHOWN WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
im so confused
Answers
Answer:
A) 216 in²
Step-by-step explanation:
2(1/2)(6)(4)=24
2x5x12=120
6x12=72
24+120+72=216
A guy wire supporting a radio tower is positioned 145 feet up the tower.
It forms a 45°angle with the ground.
About how long is the wire? Round your answer to the nearest whole
number.
Answers
the angle of the tower would be the coifficent
Identify the point in Figure 2 that corresponds to point M in Figure 1.
Answers
Answer:
i need a picture. If i had a picture i would be happy to help!
Step-by-step explanation:
Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.
Answers
I could be wrong but I tried
Hope this helps. :)
The perimeter of qudrilateral ABCD, to the nearest tenth is: 14.6 units.
What is the Perimeter of a Quadrilateral?Perimeter of a quadrilateral = sum of all its four sides.
Given the qudrilateral with the vertices:
A (3, 5)B (1, 3)C (3, -1)D (5, 3)Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find AB, BC, CD, and AD.
AB = √[(1−3)² + (3−5)²]
AB = √8 = 2.8 units
BC = √[(1−3)² + (3−(−1))²
BC = √20 = 4.5 units
CD = √20 = 4.5 units
AB = √8 = 2.8 units
Perimeter of qudrilateral ABCD = 2.8 + 4.5 + 4.5 + 2.8 = 14.6 units.
Learn more about the perimeter of a quadrilateral on:
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