$MathMaster logo$

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

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 dot product of vector u = (3, -2, 5) and vector v = (1, 4, -6)?

+

What is the radian measure of 150 degrees?

+

What is the solution set of the equation 3x + 4 = 10x - 6?

+

New questions in Mathematics

A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.

Estimate the quotient for 3.24 ÷ 82

X~N(2.6,1.44). find the P(X<3.1)

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

Your grandfather has run a small high street pharmacy for 40 years. After much persuasion, he has agreed to open a digital store online. List 5 potential ways to improve sales and/or margins by having a digital pharmacy through the utilisation of historic or new sales data.

Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.

48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.

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

The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.

Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.