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

114 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)

Math question: In how many ways can a committee of 3 students be selected from a group of 8?

What is 0.65 expressed as a percent?

Math question: Find the area of a triangle with side lengths 5, 12, and 13 using Heron's Formula.

New questions in Mathematics

Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

Desarrolla (2x)(3y + 2x)5

I need to know what 20% or £3292.75

sin 30

Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.

Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0

Quadratic equation 2X = 15/X + 7

Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x

effectiveness of fiscal and monetary policy under closed and open economies

Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.

Write an expression using compatible numbers that can be used to estimate the quotient 629\86

Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years

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 = ).

Today a father deposits $12,500 in a bank that pays 8% annual interest. Additionally, make annual contributions due of $2,000 annually for 3 years. The fund is for your son to receive an annuity and pay for his studies for 5 years. If the child starts college after 4 years, how much is the value of the annuity? solve how well it is for an exam

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?

How many digits are there in Hindu-Arabic form of numeral 26 × 1011

It costs a manufacturer $2,500 to purchase the tools to manufacture a certain homemade item. If the cost for materials and labor is 60¢ per item produced, and if the manufacturer can sell each item for 90¢, find how many items must he produce and sell to make a profit of $2000?

Define excel and why we use it?

Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2

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