Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts.

Name: Solved: Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts. - MathMaster
Brand: MathMaster
Rating: 4.9 (79 reviews)

likes

395 views

Answer to a math question Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts.

$Expert avatar$

Dexter

4.7

113 Answers

1. Start with the absolute value function:

y = |x|

2. Shift the function left by 3 units:

y = |x + 3|

3. Shift the function up by 2 units:

y = |x + 3| + 2

4. The function after the shifts is:

y = |x + 3| + 2

Frequently asked questions (FAQs)

What is the volume of a rectangular solid with length L, width W, and height H? Write the formula and use the given values: L = 5, W = 7, H = 4.

Question: What is 25% expressed as a decimal?

What is the limit of [(3x^2 - 2x + 1)/(x^2 + 3x + 2)] as x approaches 0?

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

given cos26=k find cos13

How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?

The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?

9b^2-6b-5

2/3+5/6×1/2

calculate the normal vector of line y = -0.75x + 3

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

78 percent to a decimal

You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826

List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i

Translate to an equation and solve. Let x be the unknown number: What number is 52% of 81.

Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.

Salut👋🏻 Appuie sur "Créer une nouvelle tâche" pour envoyer ton problème de mathématiques. Un de nos experts commencera à travailler dessus immédiatement !

1. The cost to transport 250 packages of cement 120 kilometers is $600. What will be the cost to transport 500 packages 300 kilometers?

4m - 3t + 7 = 16

Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean = mg/L 95% CI: to mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L? median: mg/L The median value is 36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic = Std. Error = The absolute value of the skewness statistic less than 2 x Std. Error Therefore the data can be considered to come from a population that is . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that normal H1: The data come from a population that normal Application of the Shapiro-Wilk test indicated that the normality assumption reasonable for sodium content (S-W( )= , p= ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content equal to 36.9 mg/L H1: The mean sodium content equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is 36.9 mg/L (t( ) = , p = ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content equal to 36.9 mg/L H1: The median sodium content equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is 36.9 mg/L (z = , N = , p = ).

Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?

Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts.

Answer to a math question Write the function whose graph is the graph of 𝑦=|𝑥| , but is shifted up 2 units and to the left by 3 units. Explain how you found the equation using the shifts.

You might be interested in