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
Norma-Jean [14]
3 years ago
9

given the f(x)=x2 write the equation function g(x) whose graph is a translation 5 units left and 3 units down

Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0

When a function is translated, it means the function is moved away from its original position.

<em>The function g(x) is: </em>g(x) = (x  + 5)^2 - 3<em />

Give that:

f(x) = x^2

The rule of translation 5 units left is:

(x,y) \to (x + 5, y)

So, we have:

f'(x) = (x + 5)^2

The rule of translation 3 units down is:

(x,y) \to (x, y-5)

So, we have:

g(x) = (x  + 5)^2 - 3

Hence, the function g(x) is: g(x) = (x  + 5)^2 - 3

Read more about translations at:

brainly.com/question/12463306

You might be interested in
A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.
OleMash [197]

Answer:

Step-by-step explanation:

Cost = 2.49 * y

You really should spend the time. Math is used everywhere.

3 0
2 years ago
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. An SRS of 8 subjects was randomly selected
chubhunter [2.5K]

Answer:

e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

Step-by-step explanation:

Hello!

The study's objective is to test if hypnotism reduces pain.

A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.

The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:

Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.

The sample average and standard deviation obtained were:

Xd= -3

Sd= 3

And the variable is presumed to be approximately normal.

An approximately normal distribution is enough to conduct a paired sample t-test.

If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0

The test will be one-tailed and so will be the p-value.

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.

H₀: μd ≥ 0

H₁: μd < 0

t_{H_0}= \frac{X_d-Mu_{d}}{\frac{S_d}{n} }= \frac{-0-0}{\frac{3}{\sqrt{8} } } = -2.828= -2.83

The DF of the t-test are n-1= 7

Then you can calculate the p-value as:

P(t₇≤-2.83)= 0.0127

The level of the test is α: 0.01

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value > α the decision is to not reject the null hypothesis.

Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

I hope this helps!

5 0
3 years ago
What is the coefficient of 43k?
OLEGan [10]
43.
The coefficient of something is the numerical value in that term. For example, if we have 4x. The coefficient is 4.
4 0
3 years ago
Read 2 more answers
What are the answer and steps to a^3 - 3a
tresset_1 [31]

Answer:

3a=3

Step-by-step explanation:

ok there you go

6 0
3 years ago
A bird flies up and then down again, approximately following the
BaLLatris [955]

Answer:

  • 112.5 ft

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

  • x = - 15/(-0.5*2) = 15

The maximum height is the corresponding y- coordinate

  • y = - 0.5(15²) + 15(15) = 112.5 ft
4 0
2 years ago
Other questions:
  • The given data set shows the number of books read by eight children in a reading contest. {40, 15, 14, 15, 10, 11, 18, 20} Which
    9·2 answers
  • A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow.What is the height hh o
    9·2 answers
  • I need the answer for 10 and how you got the answers
    6·1 answer
  • Complete the equation of the line through (-6,5) and (-3,-3) Use exact numbers. y=
    12·1 answer
  • If R(x) = 2x - 5 and g(x) = x2 - 4x - 8, find (f + g(%).
    11·1 answer
  • a carpenter has a board that is 8 feet long. he cuts off two pieces. one piece is 31/2 Feet long and the other is 21/3 Feet long
    7·2 answers
  • There are 20 students in Mark's homeroom class. Ten percent of the students in Mark's homeroom class are also in art class. He f
    5·1 answer
  • Question 4 help me and i will give brainlist
    5·2 answers
  • Can someone please help me and put them in order ?
    13·1 answer
  • There are 445 grams in a pound. convert 330 grams to ounces
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!