Which answer describes the transformation of g(x)=log2(x−2)+4 from the parent function f(x)=log2x ?

a.) It is the graph of f(x) shifted 2 units left and 4 units down.

b.) It is the graph of f(x) shifted 4 units right and 2 units up.

c.) It is the graph of f(x) shifted 4 units left and 2 units down.

d.) It is the graph of f(x) shifted 2 units right and 4 units up.

Answers

Answer 1

Option D

for the (x-2) we move to the right 2 and for the +4 we go up 4

Answer 2

The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

How to determine the transformation?

The functions are given as:

Transformed function: g(x)=log(x−2)+4 Parent function f(x)=log(x)

Translate the parent function 2 units right

This gives

f'(x) = log(x - 2)

Translate the function 4 units up

This gives

f''(x) = log(x - 2) + 4

So, we have:

g(x) = f"(x)

The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

Read more about function transformation at:

https://brainly.com/question/4025726


Related Questions

100 points if u get this right ty bye now!

Answers

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

someone please help ​

Answers

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

6x + 13 = 12x - 20 solutions

Answers

Answer:

6x + 13 = 12x - 20

Step-by-step explanation:

6x + 13 = 12x - 20

The bearing of a point Q from a point P is 048 degree. find the bearing of P from Q.​

Answers

Answer:

Vector PQ = 48 deg

Vector QP = -PQ =  48 + 180 = 228 deg

Note that 228 is 48 deg below the -x (180) axis

GEOMETRY please help !

Answers

Step-by-step explanation:

A.

The incorrect statement in Triangle A is B

It is not a equilateral triangle. It is a isosceles triangle

B.

The incorrect statement in Triangle B is C

The missing angle is not 158. It is 68

C.

The incorrect statement in Triangle C is C

The missing angle is not 72 it is 36

what is the approximate area of a circle with a radius of 11m?

Answers

The answer to this is that the area≈380.13

In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.

Answers

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Type the expression that results from the following series of steps
Start with y subtract d, multiply by a, then add c.

Answers

Answer:

(y-d) × a + c

Step-by-step explanation:

You start with y:

y

subtract d:

y-d

multiply by a:

(y-d) × a

then add c:

(y-d) × a + c

Hope that helps! :)

How to divide with decimals in the divisor.

Answers

Answer:

Step-by-step explanation:

Move the decimal point in the divisor and dividend. Turn the divisor (the number you’re dividing by) into a whole number by moving the decimal point all the way to ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place. ...

Maribel will borrow $6250 at 13.5% APR. She chooses to pay it back in 2 years.

What will her monthly payment be? Use the table.

Use the rate table to figure out the monthly payments per one hundred dollars.

Answers

At a rate of 13.5% the interest per $100 is $ 4.778 per month.

Therefore, for two years the payment will be

$4.778 × 24 = $114.672 per $ 100

Therefore, the interest for a principal $6250 for two years;

(6250/100) × 114.672

= $7167

The monthly payment would therefore be

7167/24

= $298.625

≈$298.63

Help me with math!!!

Answers

Answer:

- 7

Step-by-step explanation:

Given

t < - 6

Then t = - 7 is less than - 6 and is a solution

Please help (picture is linked)

Answers

Answer:

[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]

y-intercept: (0, 32), b = 32

[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Step-by-step explanation:

Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.

Slope

Use these points to solve for the slope of their line.

Let (x₁, y₁) = (0, 32)

    (x₂, y₂) = (100, 212)

Substitute these points into the following formula for the slope:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]

[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]

Therefore, the slope of the line is  [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].

Y-intercept:

Next, the given problem asks for the value of the y-intercept.  The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.

To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]

212 = 180 + b

Subtract 180 from both sides to isolate b:

212 - 180 = 180 - 180 + b

32 = b

The y-intercept is (0, 32), where b = 32.

Slope-intercept form:

Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex],  and the y-intercept, b = 32:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

whats is 89 x 98789 =
please help me asap please

Answers

Answer:

8792221

Step-by-step explanation:

89 x 98789 = 8792221

8792221 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

I’ll give brainliest and thanks and 5 stars
Solve for c and d.

Answers

Answer:

c = 58, d = 50

Step-by-step explanation:

c = 180 - 50 - 72 = 58

d = 180 - 72 - 58 = 50

Answer:

C = 58

D = 50

Step-by-step explanation:

C is 58 as all angles on a straight line add up to 180 degrees

D is 50 as all angles within a triangle add up to 180 degrees

(72+58 = 130, 180-130 = 50)

PLEASE HELP MEEEEEEEE
no links allowed please)What is the value of the expression 17.36 ÷ 2.8?

5.2
6.2
7.2
8.2

Answers

Answer:

7.14

Step-by-step explanation:

I'm taking the ssat upper level on December 11th and really need help with the math section. Are there any tips or help that can be provided?

Answers

Answer:

1, Stay calm

2, be confident

3, if you know the type of questions they are gonna ask practiece those type of questions

Also good luck

help for brianlies nad 5 stars with many points

Answers

Step-by-step explanation:

I hope you understand it. Thank you for 50 points

Refer to the attachment

The slope of the line formed between point A and point C on the graph is 2/3

What is the slope of the line formed between point C and point E?

Answers

Answer:

B. 1/2

Step-by-step explanation:

i think

if g(x)=x^2+2x, find g(-6)

Answers

Answer:

-6/2+2×(-6)

-3+(-12)

-3-12

-15

3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D

Answers

Answer:

I think the answer will be A

how much time is required to change 22Ns momentum by a force of 20N. ​

Answers

Answer:   time is 1.1 sec

Step-by-step explanation:

Answer:

1.1s

Step-by-step explanation:

t=m/F

t=time, m=momentum, F=Force

t=22/20= 1.1s

does anyone like math in this world?

Answers

Answer:

i mean math is my second favorite subject

Step-by-step explanation:

to be honest i hate math it makes me cry when i have to do it

4. If the slope of one side of a triangle is , what is the slope of the
ALTITUDE that intersects this side?

a.3/2
b. -2/3
C.-3/2
d. None of the above

Answers

Full question please?

Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones

Answers

Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.

The decimal numbers are 6.399 and 6.400.

The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.

The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.

A similar problem is given at https://brainly.com/question/17248958

The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.

Answers

for every 13 dogs, there are 25 cats. is the answer.

find the sum of the first 8 terms of the geometric sequence 2,4,8,16,..
(with solution)

PA HELP PO THANKYOUU

Answers

Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are
shown in the scatter plot. Which of the following functions best fits the data?

Answers

Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300

According to the general form of a linear regression equation :

y = bx + c b = slope ; c = intercept

Slope, b = (Δy ÷ Δx)

Slope = (200 - 50) ÷ (2 - 5)

Slope = 150 ÷ -3 = -50

Intercept is the point where the regression line crosses the y - axis.

From the graph, the intercept = 300

Hence, the regression equation is y = -50t + 300

Learn more : https://brainly.com/question/19017188

I need help quickly

Answers

the answer is 6 (x- 5)= 36

PLEASE HELP ME I NEED THIS DONE RIGHT NOW

I know it says the answers are on the back but the answers aren’t there!!

Answers

I will attach you a photo :)

To show that triangle RPQ=triangle PSR by SSS, what must be the value of x?

Answers

If RQ and SP are congruent, then 2x+3=4x-7.
3=2x-7
10=2x
x=5
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