$MathMaster logo$

MathMaster

Home
general
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 fo

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.

79

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.

$Expert avatar$

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)

What is the value of cot(π/3) ?

+

Which function represents exponential growth, f(x) = 10^x or f(x) = e^x?

+

What is the speed of a car that traveled 300 km in 4 hours?

+

New questions in Mathematics

given cos26=k find cos13

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.

What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?

A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.

Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?

User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval

1. A pediatric client is prescribed digoxin for congestive heart failure. The dose prescribed is 40 mcg/kg twice daily. The child weighs 33 pounds. What is the dosage in mg to be given per dose? Round to the nearest hundredth. Calculate your answer in mg per dose. Enter numerical value only.____mg

Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

a) 6x − 5 > x + 20

Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.

How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7

A grain silo has a height of 8.8m with a 11.4m diameter. If it is filled 0.5% of it's volume, how much grain (m^3) is stored in the silo? (0 decimal places)