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1 year ago

The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis

Mathematics

1 answer:

mr_godi [17]1 year ago

6 0

Answer:

g(x) = -√(-x +9)

Step-by-step explanation:

The relevant transformations are ...

f(x -h) . . . . . shifts the graph of f(x) right h units
f(x) +k . . . . . shifts the graph of f(x) up k units
-f(x) . . . . . . . reflects the graph of f(x) over the x-axis
f(-x) . . . . . . . reflects the graph of f(x) over the y-axis

<h3>Application</h3>

Applying the transformations in the specified order, we have ...

f(x) = √x

f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left

-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis

-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis

The shifted, reflected function is ...

g(x) = -√(-x +9)

Additional comment

The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.

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Hi I need this asap if you also explain the work on how you got answers plz and thank you

weeeeeb [17]

Answer:

Q/ Draw a line ; Ans; 

$\frac{9}{5} —>1 \frac{4}{5}$

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

$\frac{12 \div 2}{10 \div 2} = \frac{6}{5} = 1 \frac{1}{5}$

Q/ Compare the fractions;Ans;

$\frac{2}{3} < \frac{14}{6}$

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

$\frac{3}{8} < \frac{8}{3}$

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

$2 \frac{1}{6} > \frac{5}{9}$

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

Q/Add; Ans;

$\frac{7}{8} + \frac{5}{8} = \frac{7 + 5}{8} = \frac{12}{8} = \frac{3}{2}$

$\frac{1}{9} + \frac{2}{3} \\ \\ \frac{1}{9} + \frac{6}{9} = \frac{ 1+6 }{9} = \frac{7}{9}$

Q/Subtract; Ans;

$\frac{6}{7} - \frac{4}{7} = \frac{6 - 4}{7} = \frac{2}{7}$

$\frac{7}{3} - \frac{2}{9} \\ \\ \frac{21}{9} - \frac{2}{9} = \frac{21 - 2}{9} = \frac{19}{9}$

Q/ Multiply;Ans;

$\frac{1}{5} \times \frac{1}{2} = \frac{1}{10}$

$\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$

Q/Divide;Ans;

$\frac{3}{4} \div \frac{2}{5} \\ \\ \frac{3}{4} \times \frac{5}{2} = \frac{15}{8}$

$\frac{8}{9} \div \frac{1}{3} \\ \\ \frac{8}{9} \times \frac{3}{1} = \frac{24}{9} = \frac{8}{3}$

I hope I helped you^_^

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3 years ago

Please help and first right answer will be marked branliest

lakkis [162]

Answer:

a) 320 students

b) 25 students

Step-by-step explanation:

Number of 18-years old in the survey:

(We add all frequency points for each line)

0 + 30 + 20 + 60 + 70 + 40 + 60 + 40 + 0 = 320 students

Number of 18 year old spending between 25 and 35 minutes: 40 + 65 = 105

Number of 12 year old spending between 25 and 35 minutes: 30 + 50 = 80

105 - 80 = 25 students

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3 years ago

Solve for x

ludmilkaskok [199]

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Distribute -2: 5x - 2x - 2 = 1/4
Combine like terms: 3x - 2 = 1/4
Add 2 to both sides: 3x = 9/4
Divide both sides by 3: x = 3/4

Step 3: Check

Plug in x to verify it's a solution.

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

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3 years ago

Miles ordered 126 books to give away at the store opening. What is 126 rounded to the nearest hundred?

dlinn [17]

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3 years ago

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Fantom [35]

Answer:

If you mean 4x to the power of 3 - 18x to the power of 2 +3x -13 then the answer is false

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3 years ago