Can some one answer this

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0

3 years ago

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Please help me I've been stuck on hours

FinnZ [79.3K]

Answer:

the answer is 188%

Step-by-step explanation:

5 0

3 years ago

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Given that an adult likes soccer, what is the probability the adult is aged 18–30? 8.1% 18.1% 24.5% 44.4%

dsp73

The probability that an adult likes soccer is aged between 18–30 will be 44.4%.

We have an adult who likes soccer.

We have to determine the probability the adult is aged 18–30.

<h3>What is Probability?</h3>

The formula to calculate the probability of occurrence of an event 'A' can be written as -

P(A) = $\frac{n(A)}{n(S)}$

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

According to question, we have an adult likes soccer.

The answer to this question is based on the hypothesis that the adults between 18 - 30 are highly energetic. To be more precisely - the adults in the range 18 - 24 and 24 - 30 are highly energetic and full of stamina. Above the age 30, the number of adults who like soccer will start to decrease and will hit nearly zero between the age range of 55 - 65 as the adults in this age group found it very difficult to even walk.

Mathematically -

The probability of an event A = an adult likes soccer is aged between 18–30 will be the highest value among the ones mentioned in options.

Hence, the probability that an adult likes soccer is aged between 18–30 will be 44.4%.

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ1

4 0

1 year ago

Help please tysm becuase this is hard

NISA [10]

<h3>Answer: </h3><h3>Overall balance for year 5 after taxes = $1350</h3><h3>The filled out table is shown in the attached image below</h3>

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Work Shown:

10% = 10/100 = 0.10

10% of 1000 = 0.10*1000 = 100 is the amount of interest earned in year 1. This goes in the first row of column 1. The overall balance becomes 1000+100 = 1100 after we add on the interest earned. We will write 1100 in row1,column2.

Next, compute the tax: 30% of 100 = 0.30*100 = 30. The 30 will be written in row1,column3. Finally, we subtract the amount taxed (30) from the overall balance in column 2 (which was 1100). So 1100-30 = 1070 will be written in row1,column4.

After finishing row1, we should have these four values: 100, 1100, 30, 1070

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Now onto row 2

We earn the same amount in interest because we are not compounding. Write 100 in row2,column1.

The overall balance will be different. Instead of using 1000, we will use 1070 which was the figure in row1,column4. Add the amount of interest earned ($100) onto the updated balance ($1070) to get 1170. Write 1170 in row2,column2

The value in row2,column3 is the same as the value above it. This is because the amount of interest does not change, so the amount taxed doesn't change either. Basically we'll have 30s all the way down column 3. We'll also have 100s all the way down column 1.

Subtract 1170 and 30 to get 1140 which is the balance after taxes for year 2.

------------------------------------------------

Repeat these steps for the third, fourth, and fifth rows and you'll get what you see in the table below.

6 0

3 years ago

Question 33 with explanation please! 15 points

Dominik [7]

1. do you realize you have Paul at the bottom of the paper, 2. Well, Its Paul, because it says “all the girls only have 1 pet and 1 brother or sibling,”

7 0

3 years ago

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