Which statement best describes the effects on the graph of f(x) = |x|, when f(x) is replaced by 0.5f(x) + 3?

Answer:

Step-by-step explanation: The graph is vertically stretched by a scale factor of 0.5 and shifted up 3 units.

Here we need to explain what the two transformations applied to f(x) do, and then we also can see it graphically.

we can see that we have a vertical stretch of scale factor k = 0.5 followed by a vertical shift of 3 units upwards.

Now let's explain how we know that.

The two transformations applied are:

Vertical stretch:

For a given function f(x) we write a vertical stretch of scale factor as:

g(x) = k*f(x).

Which stretches or contracts the graph vertically, depending on the value of k.

Vertical shift.

For a function f(x) a vertical shift of N units is written as:

g(x) = f(x) + N

So here we have:

g(x) = 0.5*f(x) + 3

Comparing with the general transformations, we can see that we have a vertical stretch of scale factor k = 0.5 followed by a vertical shift of 3 units upwards.

The two functions are:

f(x) = |x|

g(x) = 0.5*|x| + 3

The graphs can be seen below, where the blue one is the graph of g(x), the transformed function.

If you want to learn more, you can read:

https://brainly.com/question/24401156

In 1997, the American Diabetes Association (ADA) and the federal government lowered the standard for diagnosing diabetes from a fasting blood glucose level of 140 mg/dL to 126 mg/dL.7. What is the proportion of people who are considered have diabetes and they were not considered have diabetes before 1997

Find x if a = 13 and C = 47.

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After becoming sick, a patient sees a doctor who determines the most likely cause is an allergic
reaction and prescribes an antihistamine. The patient returns home and stops burning candles and
incense for the next week while taking the medication. By the end of the week, the patient is feeling
better and is telling all his friends how wonderful the medication was at relieving his symptoms. This
is an example of

1. confounding, as there is no way to tell whether it was the medication that alleviated his
symptoms

2. convenience sampling since he only stopped burning candles and incense because it was easy

3.a double-blind experiment since neither he nor the doctor really knew what was wrong

4. bias since he wanted to feel better

Margie walked 3.75 miles on Tuesday morning. On Wednesday morning, she walked 1.2 times as far as she did on Tuesday. How far did she walk on Wednesday?

his that
The Prime Minister enforced
stated no one
could be out in public after 9:00 p.m.

Find f (x )if f apostrophe apostrophe (x )equals x to the power of negative 2 end exponent comma space x greater than 0 comma space f (1 )equals 0 and f (2 )equals 0.

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

First to answer get brainliest

Answers

A. $105

B. $105.63

C. $105.66

D. $105.88

Find the lengths of HJ

12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band? HELP!

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Your answer:

Andrew makes $1 for
every bag of cans he
recycles. He has $2 in
his piggy bank. What
equation represents
the amount of money
Andrew has in his
account from recycling
bags of cans?

this as a decimali if you respond for first you will have
the brainlest answer​

A) -60
B) -30
C) -10
D) 10

6 x + 11 y = 29
x + 2 y = 5​

f(x)=-2x+4
what is x when f(x)=-8

help me please someone i’m stressing out rn :(

In a 7th grade class, the ratio of boys to girls is 3 : 2. How many boys and how many girls could be in the class? Make sure the class has 30 students or less.

x = -11 + 7y
5x + 2y = -18

You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can take 36 pictures in 4.5 seconds. Evaluate the expression (36 divided by 4.5)/(24 divided by 3.75) to find out how many times faster your friend's camera is than your camera. *

simplify \sqrt{25a^2}

0.06/ 0.5334 Find the quotient

There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the math team?

17
Select the correct answer.
It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he
room than Nikki takes if she works alone.
When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation:
+
= 40
Which value is a solution of the rational equation that must be discarded because of the context?
OA. x = 0
OB. x= -10
OC. X = -18
OD. x= -72
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The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?

WILL GIVE BRAINLIEST

Two-thirds of the sum of three times a number and six is ten what is the number ?

Which equation is the inverse of the function
CO B 2 ☺ ☺
g(n)= -5n+2
A) g - (n)
--n+
6
1
3
B) g(n) = 1+-n
2
2
C) g(n)= -1+2
3
5
D) g(n) = -51 + 19
4
a
b

Which of the following uses the reciprocal property to rewrite
16/24 = 56/x?

1: 24/16 = x/56
2: 24/x = 56/24
3: 24/16 = 56/x
4: 16/24 = x/56​

CAN YOU HELP ME WITH MY TESTT PLEASEE!!