What transformation takes the graph of g(x) = x2 – 5 to the graph of
h (x) = x² – 1

Answers

Answer 1

Answer:

We need the following translation: [tex]h(x) = g(x) +4[/tex]

Step-by-step explanation:

To transform [tex]g(x)[/tex] into [tex]h(x)[/tex], we need must apply the following translation:

[tex]h(x) = g(x) +4[/tex] (1)

If we know that [tex]g(x) = x^{2} -5[/tex], then the expression of [tex]h(x)[/tex] is:

[tex]h(x) = x^{2}-5 +4[/tex]

[tex]h(x) = x^{2}-1[/tex] (2)

Which demonstrates the affirmation.


Related Questions

Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan

Answers

Answer:

Sin = -5/13

Cos = 12/13

Tan = -5/12

Step-by-step explanation:

Expand and simplify the following:
6x - 3(2x-1)

Answers

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?

Answers

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Find the area of the following figure:

Answers

Answer:

138

Step-by-step explanation

Please help me will give brainlyest.

Answers

Answer:

x=24

Step-by-step explanation:

I think that its just a degree sign tbh

but because pc is a radius and so is pd their opposite angles are equal to each other.

so angle d and angle c are congruent

then because a triangles angles add up to equal 180 we do

180=x+54+x+54+x and solve for x

step 1 combine like terms x+x+x=3x 54+54=108

180=3x+108

step 2 subtract each side by 108

3x=72

step 3 divide each side by 3

x=24

hope this helps (:

Answer:

x = 36

Step-by-step explanation:

BD is a diameter.

<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.

m<BCD = x + 54 = 90

x + 54 = 90

x = 36

A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.

Answers

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.

Answers

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent

Answers

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent

Please show the work.

1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?

2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

I'll mark as brainliest!
Please help!

Answers

Answer: See explanation

Step-by-step explanation:

1. Decimal fraction: ¹⁵⁷/₁₀₀

Fraction: ¹⁵⁷/₁₀₀ or 1 ⁵⁷/₁₀₀

2. Decimal Fraction: ³¹²/₁₀₀

Fraction: ⁷⁸/₂₅ or 3³/₂₅

3. Decimal Fraction: ⁶³⁰/₁₀₀

Fraction: ⁶³/₁₀ or 6³/₁₀

4. Decimal Fraction: ¹¹⁰/₁₀

Fraction: ¹¹/₁

5. Decimal Fraction: ¹¹²/₁₀

Fraction: ⁵⁶/₅ or 11¹/₅

if 7y + 42 <14 then which among the following is true​

Answers

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?​

Answers

as uve not shown no options it shud be round bout 2350000

Step-by-step explanation:

Answer:

2,350,000

Step-by-step explanation:

this is the answer I believe

QUESTION:
Rachelle is offered a new job with Big Time Book-Sellers. Her starting wage is $10.00
per hour, and she will receive a $0.50 raise after the first year. For each year that she
stays with the company after that, her raise will be $0.50 more than it was the year
before. How much will Rachelle make per hour in her 7th year working at Big Time
Book Sellers?
A) How would you solve this problem? Explain the steps you would take. What is
your answer?
B) What is one important detail from this problem that you think people might
commonly miss?

Answers

Answer:

Step-by-step explanation:

multiplicas 0.50 por 7 , el resultado es 3.5, 3.5 lo sumas a 10 y eso es el resultado de lo que ella ganaría 13.50 dólares por hora después de trabajar 7 años con ellos.

a)You multiply 0.50 by 7, the result is 3.5, 3.5 l add to 10 and that is the result of what she would earn, $ 13.50 per hour after working 7 years with them.

5

An athlete covers three consecutive miles by walking the first mile, running the second mile

and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as

ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,

How long does he take by walking, running and cycling?

ter your math answer

Answers

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

136

Step-by-step explanation:

Sum of 5 and 3: 8

Sum of 8 and 9: 17

17 * 8 is 136

Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.

which of these equations could represent the blue line?

Answers

Answer:

y = 1/2x

Step-by-step explanation:

The x seems to double the size of the y on the points.

simplify the first expression 5(m+1)-1=

Answers

Answer:

-0.8/ -4/5

Step-by-step explanation:

5(m+1) -1 = 0

5m +5 -1 = 0

5m +4 =0

5m= -4

m= -4/5

Identify the pair of angles as complementary, supplementary, or neither.
PLEASE HELP

Answers

Djjekelekenene r Jedi’s

Answer:

supplementary

Step-by-step explanation:

135 + 45 = 180

supplementary angle ALWAYS add up to  180.

Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.

Answers

Answer:

these rates are equivalent.

12bottles/$4= 18bottles/$6= 3bottles/$1

Step-by-step explanation:

Suppose you deposit ​$2,000 in a savings account that pays interest at an annual rate of ​4%.

Answers

0.04 x $2000 = 80

Note: $80 is for one year
80$ for just one year

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST

Answers

Answer: 380952381 / 1000000000

Step-by-step explanation:

:)P.s. This simplifies to 8/21 .

Answer:

8/21

Step-by-step explanation:

Solve for x: 1/2x + 3 = 9​

Answers

Answer:

12

Step-by-step explanation:

Steps
1/2x+3=9
Subtract 3 from both sides
1/2x+3-3=9-3
Simplify
1/2x=6
Multiply Both sides by 2
2*1/2x=6*2
X=12

7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?

12

8. Question 7 is an example of...

Direct proportion
Inverse proportion​

Answers

the answer is inverse proportion

. Jamie is walking of a mile every
hour. At that rate, how far will
Jamie have walked in one hour?

Answers

Answer:

a mile

Step-by-step explanation:

he walked 1 mile an hour

hope this helped

Answer:

Jamis would have walked 1 mile in one hour

Step-by-step explanation:

since Jamie walks a mile every hour, at that rate he would have walked 1 mile in one hour as given above.

I hope this helped! :)

☁️☁️☁️☁️

Felix divided his shirts into three equal groups. Evaluate when s = 18.

Answers

Answer:

3 and 6.

Step-by-step explanation:

Write and evaluate the expression. Then, check all that apply.

Felix divided his shirts into three equal groups. Evaluate when s = 18.

 

The expression is

The expression is

The expression is s/3

The expression is

The answer is

The answer is 6.

pensé un número y lo dividí entre 3 luego sume 15 y el resultado fue 23​

Answers

Answer:

  x: 3 = 23 -15

     x = 8 x 3

    x = 24

Step-by-step explanation:

Find the product of largest 4 digit number and

smallest 3 digit number.​

Answers

Largest 4 digit number =9999
Smallest 3 digit number= 100
So the product of 9999 x 100 = 999,900

Answer:

Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.

Step-by-step explanation:

hope it's helpful to you

help teacher graph only​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.

As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.

The y-coordinate is the vertical distance from the x-axis. Positive is up.

what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM

Answers

Answer:

1, 3, 9, 27, 81, 243, 729

Step-by-step explanation:

The powers of 3 are:

[tex]3^0 = 1[/tex]

[tex]3^1 = 3[/tex]

[tex]3^2 = 9[/tex]

[tex]3^3 = 27[/tex]

[tex]3^4 = 81[/tex]

[tex]3^5 = 243[/tex]

[tex]3^6 = 729[/tex]

[tex]3^7 = 2187[/tex]

And so on...

So through 1000: 1, 3, 9, 27, 81, 243, 729

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