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Pavel [41]
2 years ago
12

For each of the transformed square root functions, state the transformations and use them to plot the

Mathematics
1 answer:
FrozenT [24]2 years ago
8 0

Step-by-step explanation:

so, if I understand this correctly, the original function (shown in the graph) is

f(x) = sqrt(x)

the following transformations were done going from f(x) to h(x) :

x -> x + 4 as variable term moved the whole curve 4 units to the left. because now a specific functional value is calculated for a smaller x (by 4 units) than for the original f(x). e. g. let's call g(x) = sqrt(x + 4). then g(-4) = f(0). as mentioned, everything moved over to the left by 4 units.

sqrt(x) -> 3×sqrt(x) increased the range of the function (the generated y values) by the factor 3. was the functional result for a x value = 1, then it is now 3 for the same x value.

sqrt(x) -> sqrt(x) - 1 moved the whole curve down by 1 unit.

in summary, the whole original curve was moved 4 units to the left, then stretched upwards by the factor 3, and then that result was moved down by 1 unit.

so, e.g.

h(-4) = 3×f(0) - 1 = -1 point (-4, -1) corresponds to old (0, 0)

h(-3) = 3×f(1) - 1 = 2 point (-3, 2) corresponds to old (1, 1)

h(0) = 3×f(4) - 1 = 5 point (0, 5) corresponds to old (4, 2)

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100 POINTS! NEED HELP QUICKLY! Look at picture below
Delvig [45]

Answer:

60, 75

150  165

240   255

330  345

Step-by-step explanation:

csc 4 theta = -2 sqrt(3)/3

Write in terms of sin

1/ sin (4 theta) = -2 sqrt(3)/3

Using cross products

-2 sqrt(3) = 3 sin (4 theta)

Divide each side by 3

-2 sqrt(3)/3 =  sin (4 theta)

Take the inverse sin on each side

sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))

240 +360n = 4 theta

and 300 +360n = 4 theta  where n is an integer

Dividing each side by 4

240/4 +360n/4 = 4/4 theta  and   300/4 +360n/4 = 4/4 theta

60 + 90n = theta      and 75 +90n = theta

We want all the values between 0 and 360

Let n=0

60, 75

n=1

60+90=150  and 75+90 =165

n=2

60+180= 240   75+180=255

n=3

60+270 = 330  75+ 270 =345

7 0
3 years ago
2. State whether the change is increasing or decreasing. Round your percent of change to the nearest integer percent. originally
marysya [2.9K]

Answer:

The change is increasing with a percentage of change of 64%

Step-by-step explanation:

Since we have the present grater than the original, then the change is increasing

Secondly, we want to calculate the percent of change

Mathematically , that will be ;

(present - original)/original * 100%

= (90-55)/55 * 100%

= 35/55 * 100% = 63.63 which is approximately 64%

7 0
3 years ago
Maths- please help me with this Q
Reika [66]

Step-by-step explanation:

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2 years ago
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Pavlova-9 [17]

52.311 is greater than 52.31 because look at 52.311 and 52.31

4 0
3 years ago
Use the Counting Principle to find the probability. Choosing the 7 winning lottery numbers when the numbers are chosen at random
frozen [14]

Answer:   120

<u>Step-by-step explanation:</u>

Since the order of the numbers doesn't matter we can use the formula:

\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120

7 0
3 years ago
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