Describe the transformation of f(x) = x2 represented by g(x)=(x-1)2 + 3, then graph the function
shift right ?______
Shift left ?______
Stretch factor?_____
The transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.
What do you mean by transformation of a graph ?
The modification of an existing graph or graphed equation to create a different version of the following graph is known as transformation.
The functions given are :
f(x) = x²
and
g(x) = (x - 1)² + 3
Now , we know that , the horizontal shift depends on the value of h. The horizontal shift is described as:
g(x) = f (x + h)
Then , the graph is shifted to left by h units.
and
g(x) = f (x - h)
Then , the graph is shifted to right by h units.
If we compare f(x) with g(x) , their is a difference of -1 , it meant shift is right by 1 units.
Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:
g(x) = f(x) + k
Then , the graph is shifted up by k units.
and
g(x) = f(x) - k
Then , the graph is shifted down by k units.
Here , if we compare f(x) with g(x) there is addition of 3 in g(x) , this meant the graph is shifted upward by 3 units.
The graph of the function is attached below. Here , both of the functions are graphed.
Therefore , the transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.
Learn more about transformation of a graph here :
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Which expression is equivalent to -3x + 9?
A. -3(x + 9)
B. -3(x-3)
C. -3(x + 12)
D. 3(-x-3)
Answer:
B
Step-by-step explanation:
You use the distributive Property
-3(x-3)
-3x+9
Answer:
B
Step-by-step explanation:
–3(x – 3)
Are 1:2 and 9:18 equivalent
Answer:
Yes, they are equivalent
Step-by-step explanation:
you can check by multiplying
If you multiply by 9 on each side you can see that it is correct
Solve the two-step equation.
14 = 31.7 – 3x
What is the solution?
x =
Answer:
X=5.9
Step-by-step explanation:
Answer:
5.9
Step-by-step explanation:
im not quite sure how to solve this.
Step-by-step explanation:
yeap I also think so that the answer is 0
A box of matching game pieces contains 8 red pieces, 5 green pieces, and 7 yellow pieces. You reach in and randomly take out one piece and then a second piece. Find the probability of drawing a green piece followed by a red piece.
Answer:
The correct answer is 2/19
Step-by-step explanation:
Step 1
We start by breaking up the process into 2 parts. The first part of the process is finding the probability of selecting a green piece out of 20 pieces. Since there are 5 green pieces, this probability is 5/20
Step 2
The second part of this process is that of selecting a red piece out of 19 pieces since the first piece was not replaced. If the first piece was green, taken without replacement, there are now 8 red pieces out of 19 pieces in total
Step 3
The next step is t find the probability using the multiplication rule. To find the probability of finding green piece followed by a red piece we just multiply the probabilities from step 1 and 2.
Which equation is equivalent to y=2/3x−6
Step-by-step explanation:
I'm assuming this question is multiple choice, as there are several answers. y=x-18 is one, if that's an option. if you gave me the rest of the question, I might be able to help more :)
My Fav Football team what’s yours? Follow and Like
Answer:
I don't like Football...
Step-by-step explanation:
Answer: My fav is the New York Giants
Step-by-step explanation:
Help pls it would be much appreciated need it asap
Answer:
( 6, -3 )
Step-by-step explanation:
Lonnie walks for 30 minutes every day. The graph shows the number of Calories she burns in a week.
Which is true of the graph?
The graph shows the proportional relationship between the number of Calories she burns in a week and miles she walks. The correct option is C.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given,
Lonnie walks for 30 minutes every day.
The graph shows the number of Calories she burns in a week.
From the graph,
The y -intercept is 0.
Option A is incorrect.
And the graph of line is not y = 100x.
Because at x = 2, y is not 200.
That means, the points should be (2, 200).
But clearly this is not.
To find the proportional relationship:
From the graph, we interpreted two points,
(4, 300) and (3, 600)
Now, the proportional relationship is represented as
x/y = k,
where x and y are two expressions and k is constant.
4/300= 300/4 = 75
And 600/ 8 = 75.
That means, it shows the proportional relationship.
And there is no information about, the more Lonnie walks, the faster she goes.
So, this option is discarded.
Therefore, the correct option is C.
To learn more about the proportional relationship;
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A football team scored 3 touchdowns, 3 extra
points, and 4 field goals. Write an expression to
show us how many total points they scored.
(Remember, touchdowns are worth 6, extra points
are worth 1, and field goals are worth 3.)
Answer:
3x6+3x1+4x3
Step-by-step explanation:
Answer:
^-----
Step-by-step explanation:
Help me solve the inequality plsss 2/5 x < 10
Answer:
x < 25
Step-by-step explanation:
9) Write an inequality to represent the statement:
The sum of a number and 65 is at least 108.
suri
Answer:
x + 65 < 108
Step-by-step explanation:
What is the sum of -1.4-(-0.5)=-1.4+0.5
Help me Please!!!!!!!!!!!!
Answer:
literally 0
Step-by-step explanation:
Write an equation with the given point and slope.
Through (-1,7) and m = -3
What is the value of x in the figure below?
A. 55
B. 22.5
C. 45
D. 57.5
Answer:
45
Step-by-step explanation:
2 angles unconnected to an exterior angle = the exterior angle. In this case
70 + x = 115 Subtract 70 from both sides
70-70+x =115-70 Combine
x = 45
I need you to solve this question for me it is about 2020
If you walking on a ice cream at 5 ounces per toaster, and your bicycle losses a sock how much gravy would you need to repaint your hamster?
Answer this right and I will post 100 points to who ever get this right!!!!
WHO PLAYS SPNGEBOB IN THE TV SHOW SPNGEBOB SQUAREPANTS!!!!!
Answer:
TOM KENNYY
Step-by-step explanation:
Tom Kenny as Spongebob Squarepants
Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.
Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP
Answer:
Use google scooby it's easier than this way.
Step-by-step explanation:
Answer quickly thank you so much!!!!!!!!!!!!!!!!!!!!!
solve for W
V = L + W
Answer:
W = -L + V
Step-by-step explanation:
V = L + W
~Subtract L to both sides
V - L = W
Best of Luck!
PLEASEEE HELP FAST
1. During which parts of the graph does Arthur’s distance from home decrease?
2. When is Arthur waiting for bagels? Explain how you know.
3. If Arthur’s pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.
Answer:
1. 4 as that is when he is closest.
2. 3 is when he is waiting as the graph is horizontal showing no movement
3. 4 would change as that is showing his pace walking home if it increased the slope would become steep but if it decreased it would level out more.
Step-by-step explanation:
The following data values represent a population. What is the variance of the population? u = 8. Use the information in the table to help you. X 6 10 14 2 (x-2)2 4 4 36 36 O A. 20 o B. 10 O C. 16 O D. 8
Answer: 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
just took the quiz
Brennan studies the relationship shown in the table. Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
What is the long Division rhyme to help you solve?
What is the long Division rhyme to help you solve?
Step-by-step explanation:
Are these congruent by SSS, SAS, AAS, ASA?
Answer:
SSS
Step-by-step explanation:
no angel lines. :)
pls help!!!! ill mark you brainliest if you get it right!
THERES 2 IMAGES
Answer:
10. x = 16.5 y = 80 degrees
11. x = 4.5 y = 108 degrees
Step-by-step explanation:
To get the length, it multiplied by 1.5, so just multiply 11 by 1.5. The angles are still the same amount.
Length = *1.33333... and 6 x 1.3333... = 4.5. Angle amounts are still the same
What is the equation in slope intercept form of the line parallel to -5x+y=2 that passes through the point with coordinates (-2,1)
Answer:
Step-by-step explanation:
y = 5x + 2
y - 1 = 5(x + 2)
y - 1 = 5x + 10
y = 5x + 11
How do I find the missing leg of a right triangle?
If you have the legs be a and B and the hypotenuse be C the A^2 + B^2 =C^2
Just fill in what you know and solve
Bob moved (2x²+5x-3)yards on monday,(4x-7)yards on Tuesday, and (3x²+10) yards on Wednesday how many yards did he mow in the three days
Answer:
5[tex]x^{2}[/tex] + 9x
Step-by-step explanation:
you have to add all the yard together
(2x^2 + 5x - 3) + (4x - 7) + (3x^2 + 10); now add x^2, x's and numbers
5x^2 + 9x +0
5[tex]x^{2}[/tex] + 9x
Is y=3x-8 proportional
Step-by-step explanation:
YES! HOP THIS HELPS