MathMaster logo

MathMaster

  1. Home
  2. general
  3. y 2 4 x 1 1 describe transformation
Question

y=-2(4)^x+1 +1 describe transformation

251

likes
1255 views

Answer to a math question y=-2(4)^x+1 +1 describe transformation

Expert avatar
Adonis
4.4
106 Answers
Solution:
1. Given function:
* y = -2(4)^{x+1} + 1

2. Base function:
* y = 4^x

3. Identify transformations step-by-step:
- **Translation horizontally**: The function has (x+1) as the exponent instead of x. This indicates a horizontal shift to the left by 1 unit.
- **Vertical stretch and reflection**: The coefficient before 4 is -2.
- **Vertical stretch**: The factor 2 indicates that the function is stretched vertically by a factor of 2.
- **Reflection**: The negative sign indicates a reflection across the x-axis.
- **Vertical translation**: The +1 outside the function indicates a vertical shift upwards by 1 unit.

4. Describe the complete transformation:
- The function y = 4^x undergoes the following transformations: a horizontal shift to the left by 1 unit, a vertical stretch by a factor of 2, reflection across the x-axis, and finally a vertical shift upwards by 1 unit.

Frequently asked questions (FAQs)
What is the condition of congruence for triangles?
+
(Question) Simplify the expression: (3 + 4i) - (2 - 5i) / (1 + i). How does the result demonstrate the distributive property of complex numbers?
+
What is the probability of choosing a red marble from a bag containing 5 red marbles and 10 blue marbles?
+
New questions in Mathematics
-x+3x-2,si x=3
a ferry travels 1/6 of the distance between two ports in 3/7 hour. the ferry travels at a constant rate. at this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
If the midpoint of point A on the x=3 line and point B on the y=-2 line is C(-2,0), what is the sum of the ordinate of point A and the abscissa of point B?
4x/2+5x-3/6=7/8-1/4-x
According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card
3. A rock is dropped from a height of 16 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤3) is given by s(t)=-2t2 + 16. Find the average velocity of the rock over [0.2,0.21] time interval.
A warehouse employs 23 workers on first​ shift, 19 workers on second​ shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first ​-shift workers.
The simple average of 15 , 30 , 40 , and 45 is
If a|-7 and a|9, then a|-63
9.25=2pi r solve for r
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
Calculate the difference between 407 and 27
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;
Find sup { x∈R, x²+3<4x }. Justify the answer
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
How many cards do you expect to pull from a poker deck until you get an ACE?
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?

You might be interested in