1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masja [62]
3 years ago
7

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

<u>1. Type of function</u>: absolute value function

<u>2. The three transformations from the parent function f(x) = |x| are</u>:

  • Translation 3 units to the left
  • Vertical stretch with a scale factor of 2
  • Translation 5 units downward

Explanation:

<u>1. Type of function</u>

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

<u>2. Transformations from the parent function f(x) = |x|</u>.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a)<u> Translation in the horizontal direction</u>.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) <u>Vertical stretch</u>

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) <u>Vertical translation</u>

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

You might be interested in
Three distinct lines, all contained within a plane, separate that plane into distinct regions. what are all of the possible numb
BlackZzzverrR [31]

The solution is attached as a word file.

Download doc
3 0
2 years ago
52= -5x -3 can you solve for x
Roman55 [17]

Answer:

x = -11

Step-by-step explanation:

First, add three to both sides on the equation. Then, your equation becomes 55= -5x. Finally, divide both sides by -5 to get -11 = x. So, x equals -11. Hope this helps!

4 0
3 years ago
Read 2 more answers
ILL MARK U BRAINLIEST!
V125BC [204]
B is the answer i hope it helps i
4 0
2 years ago
Read 2 more answers
Based on the survey, what is the probability that a person chosen at random is a diabetic patient or an eye patient
KonstantinChe [14]

First, you must find the total number of people. Add together 32, 54, 78, 112, and 96 to get 372. Next, add the number of diabetic patients with the number of patients with eye problems (54 + 112 = 166).

Your fraction is now 116/372. Simplify this to get your answer, 29/93 or 0.31.

6 0
3 years ago
Jake is buying a sweater with a price of $30 shown on the tag. The store is having a sale that will reduce the price by 30%. Sal
xxMikexx [17]

Answer:

$22.05

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Liam says - G) is equivalent to Explain if Liam is correct by completing the
    11·1 answer
  • In the number 11,651, which places contain digits where one digit is ten times as great as the other digit
    6·1 answer
  • Callie reads 5 pages in 20 minutes. She spends the same amount of time per page.
    5·1 answer
  • How to multiply and divide algebraic fractions
    12·1 answer
  • (2x + 3)(5x + 1) =<br> What is the answer?
    5·2 answers
  • What is to compatible 287-162
    8·1 answer
  • Add as decimal 1.75+1.13
    14·1 answer
  • a washer and dryer costs $951 combined. The washer costs $51 more than the dryer. what is the cost of the dryer?​
    12·2 answers
  • Complete the following table for the function y = 3x
    9·1 answer
  • Find the CIRCUMFERENCE of a circle with the DIAMETER of 11 ft.<br> HELP PLS
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!