Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).

Answers

Answer 1

Answer:

to go from y=x² which has a minimum vertex at (0,0), you must shift the vertex one unit to the left and then one unit up to get a maximum vertex at (-1,1)

you can then plot points that can be created from an x-y table; such as (1,-7), (-1,1), (2,17), (-2,-1), etc

Step-by-step explanation:

Answer 2
y=x²

First tranfer x to 1 units left .

y=(x+1)²

Multiply by 2

y=2(x+1)²

Flip the parabola (turn a negative)

y=-2(x+1)²

Transfer y 1 units up

y=-2(x+1)²+1

Related Questions

What is the slope of the line?
I really need help

Answers

You chose two points, (1,2) and (4,4). 4-2=2 and 4-1=3. You divide 2 by 3 and you would get the slope 2/3
(-2,0)(1,2)

Slope

m=(2-0)/1+2m=2/3

HELP ASAP PLEASE!!
full work shown gets brainliest!!


What is the product of 8 radical 5and 2 radical 30 in simplest radical form?

Answers

Answer:

= 40√6

Step-by-step explanation:

least common multipler of 8,2:8

hlo do this question plz
out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .

a)How many civil servants were absent ?
B)How many civil servants were working in the field only?​

Answers

Answer:

(a): 10 civil servants who were absent.

(b): 15 civil servants are in field only.

Step-by-step explanation:

Let;

Civil servants in office be oCivil servants in field be f

[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]

Question (a):

Let the absentees be x

[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]

There are 10 absentees.

Question (b):

Servants in field only;

[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]

PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!

Answers

First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.

Hope this helps!

WHAT IS 10x+55 = 100​

Answers

Answer:

[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]

Step-by-step explanation:

[tex]10x+55 = 100[/tex]

[tex]10x+55-55=100-55[/tex]

[tex]10x=45[/tex]

[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]

[tex]x=\cfrac{9}{2}[/tex]

HOPE IT HELPS!

Subtract 55 from both sides.

10x=100-55

Simplify 100-55 to 45.

10x=45

Divide both sides by 10.

[tex]x = \frac{45}{10} [/tex]

Simplify

[tex]x = \frac{9}{2} [/tex]

6>2k+4

WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Answers

Answer:

is it 1?

Step-by-step explanation:

120% of what number is 102

Answers

Answer:

122.4 i think

Step-by-step explanation:

If y ♾x and y = 2 when x = 8, then y = 3 when x =

Answers

Answer:

12

Step-by-step explanation:

The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x

We have y as 3 so

3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.

x is now equal to 3/0.25 which is 12. X = 12

Answer:

Is the answer 9 for the last x

Step-by-step explanation:

hope this helps

how do you write the equation of the line that passes through the points (-9,4) and (7,-2)

Answers

Answer:

y = -3/8x+5/8.

Step-by-step explanation:

First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.

Answer:

y = (-3/8)x + 5/8

Step-by-step explanation:

First we need to find the slope of the line connecting these two points.  Slope is represented by m and is equal to rise/run.

Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise).  Thus, the slope of this line is

m = rise/run= -6/16, or -3/8.

Adapt the slope-intercept formula y = mx + b to this situation.  From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8.  Then we have:

4 = (-3/8)(-9) + b, from which we get the y-intercept, b:

4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.

The equation describing this situation is y = (-3/8)x + 5/8.

Given the point and the slope, write the function in point-slope form:

(2,−5);m=23

Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)

Answers

Answer:

2nd answer choice

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

y-(-5)=23(x-2)

y+5=23(x-2)

Answer:

  (b)  y+5=23(x−2)

Step-by-step explanation:

The point-slope form for the equation of a line is ...

  y -k = m(x -h) . . . . . . point (h, k), slope m

You have point (2, -5) and m=23, so the equation becomes ...

  y -(-5) = 23(x -2)

  y +5 = 23(x -2) . . . . . . simplify a bit

41)533
What is 533 divided by 41 using Partial Quotients?

Answers

Answer:

13

Step-by-step explanation:

533÷41=13 just use a calculator


5.
Which of the following equations describes the graph?

Answers

Step-by-step explanation:

I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2

convert the following equation into standard form. y= -5x/6+2

Answers

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

6y = 6(-5x/6 + 2)

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

I AM BEGGING YALL TO HELP ME BRAINLYEST

Answers

Answer:

56

Step-by-step explanation:

PEMDAS

4+372-320

376-320

56

Follow PEMDAS
4 + 372 - 320
376 - 320
56

: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?

Answers

The answer is 4.5 ounces.

27/6=4.5

You can answer the ones you want to. At least one.


Have no idea how to do this. Please help I beg you.

Answers

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

Jett leaves for the airport at 3:20 p.m. The airport is a 35-minute drive from his house. What time does he reach the airport?

Answers

Answer:

3:55

Step-by-step explanation:

add 35 to 20 then put the hour =

3:55

Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.

please....help...

Answers

Answer:

Step-by-step explanation:

Degree is defined as the highest power of the polynomial function.

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Consider a polynomial function  

The highest power of the polynomial function is 4.

Therefore, the degree of the polynomial function is 4.

Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.

The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.

Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.

Answers

6 because its 6 dont ask

30,098 / 6

Quotient and Remainder

Answers

Answer:

5,016.33333333

Step-by-step explanation:

divide

I NEED ANSWER ASAPPPP

Answers

boy-7/12

girl-5/12...................

A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16

Answers

A line passes through (9,2) and (12,-4).So, x = 9, y = 2x = 12, y = -4

For the 1st equation,

2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

Doubt clarification - use comment section.

If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!

45 mi/hr

27.5 mi/hr

25 mi/hr

40 mi/hr

Answers

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

Santa’s reindeer can fly at a speed of 42,444,445.56 miles per hour. At that rate, how far can they travel in 3.5 hours?

Answers

Answer:

Answer: 148555559.46

Step-by-step explanation:

42,444,445.56 x 3 =127333336.68

42,444,445.56 divided by two is 21222222.78

127333336.68 + 21222222.78 = 148555559.46

Six less than a number is twenty

Answers

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

Answer:

n=26

Step-by-step explanation:

solve similar triangles (advanced)

Answers

Step-by-step explanation:

since m<CBA = m<EDA = 90

, < A is a common angle

then : triangle EDA is similar to triangle CBA

then : 11/3+X = 2/3

33=6+2X

27=2X

X=13.5

Will mark brainliest

Answers

Answer:

The heart is in the Quadrant IV

Answer:

your anwser would be IV please mark brianliest

Step-by-step explanation:

Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
6(1/2w -3/4)

Answers

Y= 3w-4.5


This is the answer.

Answer:

Y= 3w-4.5

Step-by-step explanation:

Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40

Answers

Answer: D

Explanation:

Ben : 5 • x = 5x
Julie: 8 • 2x = 16x
Phil: 10 • (2x - 4) = 20x - 40

Add them all together:

5x + 16x + 20x - 40
= 41x - 40

what is the coefficient in 5z -4m -2x​

Answers

Answer:

The coefficients are 5, -4, and -2.

Step-by-step explanation:

Coefficients refer to the numbers that are directly in front of variables. (Variables are any given letter, in a math problem, that represent unknown number values).

With this being said, the coefficients in this expression are 5, -4, and -2.

Hope this helps you :)

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