Which function describes the vertical shift up 2 units and left 2 units to the original function: f(x) = ex

Answers

Answer 1

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

g(x) = f(x - (-2)) + 2

g(x) = f(x + 2) + 2

Then:

g(x) = e^(x + 2) + 2


Related Questions

Can someone help me find the surface area and volume for these shapes ty.

Answers

Answer:

you multiply im pretty sure

Step-by-step explanation:

What is the median value of the data set shown on the line plot?

HELP ASAP

Answers

Answer:

Median: 6

Step-by-step explanation:

1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11

half of 22 (total numbers) is 11, on the 11th spot it is 6

Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.

Answers

Answer:

around 5.5 inches

Step-by-step explanation:

34.48 = 2rπ

34.48/π = 2r = around 11

r = 11/2

The radius of the circle is equal to 5.49 inches.

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

here, we have,

Given here:

Circumference as 34.48 inches and π=3.14

Now circumference of the circle is given by

2πr=34.48

r=34.48/2×3.14

r=5.49 inches

Hence, The radius of the circle is equal to 5.49 inches.

Learn more about circumference here:

brainly.com/question/14200825

#SPJ2

Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).

Answers

Answer:

0.068% or 6.8% this will be your final answer

Please look at the screenshot

Answers

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

P , Q, R and S are four points on a circle

Answers

Answer:

Yes

Step-by-step explanation:

it is because they meet together

Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96

Answers

664.80
- 200
= 444.80

444.80/5 months = A) 88.96

Please Help! Will give Brainliest!!
Write with our the absolute value sign

Answers

I think the answer is 11

Since y is less than -5, -6 would work,

The absolute sign changes the - into a positive so 6+5 = 11

The correct answer is -(y + 5) or -y -5.

How do I do this I don’t understand it

Answers

Answer:

you graph it on the LINE and find the slope

The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.

Answers

t equals 3.3333 repeating

ENGAGEMENT: Is This Enough?
Solomon thinks that this figure has enough information to figure out the values of
a and b.
90°
a
7
Do you agree? Explain your reasoning,

Answers

Answer:

Step-by-step explanation:

To determine a student’s overall test score for the semester, Ms. Lopez throws out the lowest test score and takes the average of the remaining test scores. Victor earned the following test scores in Ms. Lopez’s class this semester: 62, 78, 83, 84, and 93. What overall test score did Victor earn in Ms. Lopez’s class this semester?

67.6
67.6

80.0
80.0

83.0
83.0

83.5
83.5

84.5

Answers

Answer:

80%

Step-by-step explanation:

I'm assuming you want the average of the class.

62 + 78 + 83 + 84 + 93

= 400

400/5

= 80

Therefore Victor's overall test score is 80%

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

What're the questions??

Step-by-step explanation:

why did this just now show up for me when it was in 2021 bro

2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm

Answers

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

PLZ HELP

How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)

a
One

b
Two

c
None

d
Infinitely many

Answers

Answer:

D.infinitely many

try it you'll see

Your answer to this is D

Simplify the expression.
7x2 + 3 - 5(x^2- 4)

Answers

Answer:

2x² + 23

Step-by-step explanation:

Distribute the -5 and combine like terms.

7x² + 3 - 5(x² - 4) =

= 7x² + 3 - 5x² + 20

= 2x² + 23

X=? What’s is this one?

Answers

Answer:

x = 50°

y = 130°

z = 130°

Step-by-step explanation:

the central angle is equal to it's arc in degrees.

y = 180° - 50° = 130°

Which statements about special quadrilaterals are true? Select all that apply.
An isosceles trapezoid can be broken into a rectangle and two triangles.
The area of a kite can be found by multiplying the length times the width.
After breaking a kite into two triangles of the same size and shape, find the height of the triangles by dividing the width by 2.
A kite can be broken into two triangles or a rectangle and a triangle.
A trapezoid is a quadrilateral with two pairs of parallel opposite sides.

Answers

Answer:

A and C

Step-by-step explanation:

I just answered the question.

Answer:

A and C

Step-by-step explanation:

Trust me

What does (-0.75) (5/7) equal ?

Answers

Answer:

-0.53571428571

Step-by-step explanation:

A shipping crate is packed with unit cubes the length of the crate is four units the width is two units and a height is four units find the volume of the shipping crate

Answers

Answer:

32 unit cubes

Step-by-step explanation:

Volume = length x width x height

Volume = 4 x 2 x 4

Answer:

32 unit cubes

Step-by-step explanation:Volume = length x width x height

Volume = 4 x 2 x 4

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.

Answers

Answer:

3rd Answer =Option A is the Correct Answer

Step-by-step explanation:

Hi!

3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.

4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.

Hope this helps! I would appreciate brainliest, if not that's okay!!

When two parallel lines are cut by a transversal, _______________________ angles are supplementary

A.Corresponding angles

B. Alternate interior angles

C, Alternate exterior angles

D.Same side interor angles

Answers

Answer:

When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.

Step-by-step explanation:

help me outttt, thank you so much whoever does :))

Answers

12.59

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6 times the quotient of 3 and 5

Answers

Answer:

ten less the quotient of a number and 3 is 6. help needed with equation!Step-by-step explanation:

Answer: I’m not sure if you’re asking for me to solve this or how to set it up. But if you solve it you get 3.6. if you have to sit it up it would be 6 x 3/5

Step-by-step explanation:

PLEASEEE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT

Answers

Cant see photo sorry!!

x=5 so what is (x+3)² =​

Answers

(3+x)²

(5+3)²=

8²=

64

.

.

.

.

Answer:

64

Step-by-step explanation:

Since x=5

(5+3)^2

(8)^2= 64

which expression is equivalent to 2x+x^2+3x|+5x^2-10x?
(A) x
(B) x^2
(C) -5x+6x^2
(D) 15x+6x^2

Answers

Answer is (C)
Step by step exploration

A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x

Answers

Consider the below figure attached with this question.

Given:

A, B & C lie on a straight line. D, C & E lie on a different straight line.

[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]

To find:

The value of x.

Solution:

A, B & C lie on a straight line.

[tex]m\angle ABD+m\angle DBC=180^\circ[/tex]    (Linear pair)

[tex]y+m\angle DBC=180^\circ[/tex]

[tex]m\angle DBC=180^\circ-y[/tex]

According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex]        (Exterior angle theorem)

[tex]180^\circ-y+z=x[/tex]

[tex]180^\circ-117^\circ +63^\circ =x[/tex]

[tex]126^\circ =x[/tex]

Therefore, the value of x is 126 degrees.

2*3=6 true or false?

Answers

Answer:

True

Step-by-step explanation:

2 + 2 + 2 = 6

3 + 3 = 6

Answer:

If this was your question,

[tex]2 \times 3 = 6[/tex]

=> True.

If this was what you meant then,

[tex] {2}^{3} = 8[/tex]

=> False.

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

Answers

Answer:

Step-by-step explanation:

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