MATHEMATICS HIGH SCHOOL

What is the transformation that occurs to the equation y = 2^x if it changes to y = 2^(x - 8)?The graph moves 8 units to the right.


The graph moves 8 units to the left.


The graph moves 8 units up.


The graph moves 8 units down.

Answers

Answer 1
Answer: The graph moves 8 units to the right.

Related Questions

Toshi and owen need to add 4.9 x 10^9 and 4.1 x 10^7. toshi says they must use the expression (490 x 10^7 ) (4.1 x 10^7), but owen says they must use the expression (4.9 x 10^9) (0.041 x 10^9). are neither, one, or both students correct? explain
A radio commercial for a loan company states: “You only pay $0.29 a day for. each $500 borrowed.” If you borrow $1,500 for 120 days, what amount will you. repay, and what annual interest rate is the company actually charging?
The equation of line CD is (y-3) = -2(x-4). What is the slope of a line perpendicular to line CD? a. 2 b. -2 c. 1/2 d. -1/2
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Two functions are shown in the table below.Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 3
x = 4
x = 5
x = 6

Answers

Given:
f(x) = - x² + 4x + 12
g(x) = x + 8

f(1) = -(1)² + 4(1) + 12 = -1 + 4 + 12 = -1 + 16 = 15
f(2) = -(2)² + 4(2) + 12 = -4 + 8 + 12 = -4 + 20 = 16
f(3) = -(3)² + 4(3) + 12 = -9 + 12 + 12 = - 9 + 24 = 15
f(4) = -(4)² + 4(4) + 12 = -16 + 16 + 12 = -16 + 28 = 12
f(5) = -(5)² + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6)² + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0

g(1) = 1 + 8 = 9
g(2) = 2 + 8 = 10
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14

f(x) = g(x) when x = 4
f(4) = g(4)
12 = 12

Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number of food cans collected by each student. Each dot represents one student. What is the median of the data set? A. 9 B. 7 C. 6 D. 8

Answers

Answer: The answer is going to be 7

Step-by-step explanation: So for this problem it is important to know what a median is. The median is essentially the center number when everything is written out. So you want to take your line plot and write out each number on the bottom as many times as a dot appears above it. For this problem that would look like 6, 6, 7, 7, 8, 9, 9. Since you have seven numbers the center would be the 4th one. In ascending order out of these numbers the 7 occurs fourth thus giving you your answer.

Answer: answer is C 7

Step-by-step explanation:

So for this problem it is important to know what a median is. The median is essentially the center number when everything is written out. So you want to take your line plot and write out each number on the bottom as many times as a dot appears above it. For this problem that would look like 6, 6, 7, 7, 8, 9, 9. Since you have seven numbers the center would be the 4th one. In ascending order out of these numbers the 7 occurs fourth thus giving you your answer.

there are 765 marbles in a in a box. there are twice as many blue marbles as green marbles. there are 3 times as many red marbles as blue marbles, how many red marbles in the box

Answers

let the no. of green marbles be x
no of blue marbles = 2x
no of red marbles = 3*2x = 6x
total marbles = 765
so, x+2x+6x = 765
or, x = 765/9 = 85
no of red marbles = 6*85 = 510

The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?

Answers

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

What’s the value of c if e^3x+6=8

Answers

Answer:

A

Step-by-step explanation:

You have a limit of $300 that you can spend for a rental car on your vacation this summer. You have found a deal where you can rent a car for a daily rate of $30 plus a fee of $0.20 per mile driven. If you want to be able to keep the car for four days, how many miles can you drive?

Answers

From the problem
you can get the equation
4(30+0.20x) < 300

the 4 represents that it is within 4 days, the 30 is the daily fee, the 0.20 is the rate of per mile driven per day, and the 300 is how much money you have left to spend.

now we solve for x, first distribute the 4 into the parenthesis
120 + 0.80x < 300     then subtract 120 from both sides
-120              -120
and get   0.80x < 180   then divide both sides by 0.80
             /0.80       /0.80
therefore x = 225
so you can drive  225 miles.
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