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?_____

Answers

Answer 1
Shifty to right 1
Not shift to
2
Answer 2

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.

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Related Questions

PLEASE HELP! THANKS!!!

Answers

Answer:C

Step-by-step explanation: 2x=8 so x=4

plz help me. i don’t want to fail math. ahahahah

Answers

Answer:

2215

Step-by-step expla1st off wrRCWCvvcvvv

Answer:

1: Neither

2: Parallel

3: Perpendicular

4: Neither? (Not sure on this one)

What is the gcf of 99 and 54

Answers

Answer:

9

Step-by-step explanation:

The factors of 99 are 99, 33, 11, 9, 3, 1. The common factors of 54 and 99 are 9, 3, 1, intersecting the two sets above. In the intersection factors of 54 ∩ factors of 99 the greatest element is 9. Therefore, the greatest common factor of 54 and 99 is 9.

Hope this helps :)

Can I have brainliest?

Answer:

9

Step-by-step explanation:

9 x 11 = 99

9 x 6 = 54

Write an equation in point slope form of the line passes through the point (9,0) and has a slope of m=-3

Answers

Answer:

[tex] \huge y = - 3(x - 9)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have the final answer as

[tex]y - 0 = - 3(x - 9) \\ \\ \\ y = - 3(x - 9)[/tex]

Hope this helps you

Angelo has $5.50 for lunch. He guys a cookie for $1.05
and a drink for 1.45. How much money does Angelo
have left?

Answers

Answer:

Angelo has $3 dollars left

Step-by-step explanation:

$1.05+$1.45= 2.50

$5.50-$2.50= $3

Answer:

$3

Step-by-step explanation:

$5.50 - $1.05 = $4.45

$4.45 - $1.45 = $3.00

Find the value of x.

Answers

Answer:

x=95°

Step-by-step explanation:

John spent $19.00 at the tuck shop. He bought 2 chocolate bars and 3 packets of
chips. The amount he spent on chips was $3.00 greater than the amount he
spent on chocolate. Jane wants to buy 3 chocolate bars and 3 packets of chips.
How much will it cost her?

Answers

Answer:

It will cost Jane $21.00

Step-by-step explanation:

As, cost of 1 chocolate = x

The cost of 1 packet of chips = $3 + x

So no. Of 2 chocolate bars = x + x = 2x

And no. Of packet of chips = ($3+x) + ($3+x) + ($3+x) = 3(3+x) = 9+3x

So now = cost Of chocolate + cost of chips = $19

So = 2x + 9+3x = 9 + 5x

So 9 + 5x = $19

So 5x = $19 - 9 = $10

So 5x =10

x = 10/5

x = 2

So cost of 2 chocolate = 2x = 2($2) = $4

And 3 chip packet = 9+3x = 9+3($2) = 9+6 =$15

So now total = $4 + $15 = $19

Now for John = 2 chocolates and 3 packets of chips = $19

Now for Jane she has 3 chocolates and 3 packets of chips, so she has one more chocolate amd now we know that 1 chocolate = $2

So we will just add one more chocolate

So Jane will pay = $ 19 + $2 = $21

So it will cost Jane = $21:00

Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!

Answers

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

what is 1 1/3 x 2/3 in the simplest form?

Answers

Answer:8/9

Step-by-step explanation:4/3 * 2/3=8/9

The simplification of the fraction 1 1/3 x 2/3 in the simplest form will be; 8/9

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given the mixed fraction as;

[tex]1 \dfrac{1}{3} \times \dfrac{2}{3}[/tex]

First, we need to simplify the mixed fraction;

[tex]1 \dfrac{1}{3} =\dfrac{4}{3}[/tex]

Therefore, the product of the fraction will be;

4/3 x 2/3 = 8/9

Hence, the simplification of the fraction 1 1/3 x 2/3 in the simplest form will be; 8/9

Learn more about multiplications;

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What is the area of the base of the cone below? Round the number to the nearest tenth if necessary.

A. 14.7 in (2)

B. 17.3 in (2)

C. 18.5 in (2)

D.19.5 in(2)

Answers

Answer:

19.5

Step-by-step explanation:

Identify the slope-intercept form and the graph of the line described by the equation 2x−y=7.

Answers

answer :
2x - y = 7
-y = -2x + 7
y = 2x - 7 <— slope-intercept form

Please help meee I really need help I’ve been struggling badly..

Answers

Answer:

make it so that its flat or turn it left

Step-by-step explanation:

KING VON JUST DIED NOT TO LONG AGO!!!!! SAD !!!!!1

Answers

Answer:

Jimmy Choo, with a handbag too, red or baby blue?

She gets to smilin' she ain't used to this, 'cause she ain't use to ***

I'm just laughin', could've been a pimp the way I move my lips

Step-by-step explanation:

Answer:

that sad i very upset

Step-by-step explanation:

Expand Your answer should be a polynomial in standard form. (x+3)(x−5)

Answers

Answer:

x^2 -2x -15

Step-by-step explanation:

xx+x(-5)+3x+3(-5)

=xx-5x+3x-3 times 5(simplify answer)

=x ^2 -2x-15

Which equation represents the relationship “4 less than a number is 10?”

Answers

X+3=7
Which 7-3 would be 4

Answer:

x - 4 = 10

x = 14

Step-by-step explanation:

Any variable can be used to represent the number, I choose to use "x" in this case.

x - 4 = 10

Inverse operations;

x - 4 = 10

  +4    +4

x = 14

Dissolution of 2Y +9 equals four is

Answers

Answer:

11

Step-by-step explanation:

Lili runs a small day care business, caring for 3 children.
• She earns $150 during regular work hours.
• She charges $0.50 for each minute parents are late.
The situation is represented by the equation below, where t is the total
dollar amount Lili earns each day and m is the total number of minutes
parents are late.
t=150 +0.5m
Which of the following solutions shows an amount of money Lili can
reasonably expect to earn each day?

Answers

Answer:

$150

Step-by-step explanation:

[tex]t=150 + 0.5m\\t=150+0.5*0\\t=150[/tex]

This is as we don't know how often the parents are late, nor if they are late. So we assume that the parents are never late.

WILL MARK BRAINLEIST PLEASE HELP

Answers

Answer:

-8 is the real answer

Step-by-step explanation:

Which is the graph of x298.6? ?
十十十十十十十一
95 6 97 98 9 100 101 102 103
0
十十十十十十十十
5 96 97 8 9 100 01 102 103
||||-+十十一
95 6 7 8 9 100 100 10 103
|||| + ++ +++
95 6 7 8 9 100 101 102 103

Answers

Answer:

A

Step-by-step explanation:

because I remember this question in the quiz I had a while ago

Answer:

The first one

Step-by-step explanation:

Bcs when u have a closed circle is when is less or equal to, and an open circle means greater/less to.  And you have a closed bcs is less or equal to. So u look in the answers, you can already take two answers out which are the 2 and the 3 bcs they are open circle. Then x ≥ 98.6, then x is bigger than the 98.6 so the arrow would go to the right. And the answer would be first one

(How to do that in an easier way, Look at this ≥, the pointy side is aiming in the right so the arrow will go always to the right, THIS ONLY WORKS WHEN THE LETTER IS IN THE LEFT {EX. y ≤ 19, the arrow will be pointing in the left.)

                                 PLS IF IT HELPED GIVE ME BRAINLIEST

                                              HAVE A GOOD DAY

[{(-72)÷(-2)}2-(-7)]x(-10)

Answers

Answer:

-790

Step-by-step explanation:

Answer:

-5040

Step-by-step explanation:

Start inside out.

1) -72/-2=36 now this is still inside the braces so you have to multiply times 2

2)36*2= 72 and now remember that negative times negative is positive

3)72*7=504

multiplies times -10= -5040

You can also think about this another way

(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.

On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length it was on Monday.
Which expressions could represent how many centimeters long Florencia's hair was after the haircut?

Answers

What is h?

maybe 25%

i hope it helped you sorry if it didn't

Answer:

25%

Step-by-step explanation:

What is the percent increase??? Let’s see who gets it right !

Answers

Answer:

90% increase

Step-by-step explanation:

38-20 To find the increase in the wolves.

Then, you have to divide by the original amount. You will get 0.9

Multiply by 100 to get the percentage

You will get 90%

what are possible solutions for -6c > -2

Answers

Answer: x < 1/3

Step-by-step explanation:

Rotate ELMO 270° clockwise about the origin.

What are the coordinates of E’?
a. (1, 1)
b. (-1, 1)
c. (-1, -1)
d. (1, -1)

Answers

The answer is in fact D

can someone help me answer that question​

Answers

Answer is the second choice

26/1
My teacher said it can be simplified and I did which gave me 26 but that not what he wants help me? I’m lost

Answers

Answer:

Maybe just 26 cause when you do 26/1 as a fraction that’s indicating it’s a whole number so just try 26, I’m not completely sure though. Sorry wish I could help more

Step-by-step explanation:

How many times larger is 6×10 to the power of 6 than 3×10 to the power of 5

Answers

sir im sry to tell u this but, Y ARENT U SUBBED TO PEWDIEPIE U NERD

Does someone know the answers to question 12 and 13 ??? GIVING 30 POINTS

Answers

Answer:

Step-by-step explanation:

For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is  also 3/5

for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.

so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.

Answer:

12. A

13. C

Step-by-step explanation:

12. to be parallel needs same slope

13. to be perpendicular flip slope and if positive change to negative

simplify each of the following (5x+4y)(5x-4y) solve​

Answers

Simplified :(5x+4y)(5x−4y)

=(5x+4y)(5x+−4y)

=(5x)(5x)+(5x)(−4y)+(4y)(5x)+(4y)(−4y)

=25x2−20xy+20xy−16y2

=25x2−16y2

hope this helps!

Answer:

25x^2-16y^2

Combine the opposite terms in  5x(5x)+5x(4y)-4y(4y)

                                                            5x(5x)-4y(4y)

                                                             25x^2-16y^2

I really need the help?

Answers

Answer:

a=c because opposite vertices are always equal to one another

Step-by-step explanation:

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