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3 years ago

What is the transformations of f(x)=(x-2)^2-4

1 answer:

4 0

This is how to solve the problem: "What is the transformations of f(x)=(x-2)^2-4"

Looking at the quadratic equation given,
f(x) = (x-2)^2 - 4
It's like seeing product of sum and difference of two squares.

(x-2)^2 - 4
[ (x-2) - 2 ] [ (x-2) + 2 ]
[ x - 2 - 2 ] [ x - 2 + 2 ]
[ x - 4 ] [ x ]
[ x^2 - 4x ]

So the final transformation of f(x) = (x-2)^2 -4 is f(x) = (x^2 - 4x).
In this way, we are able to show how a complicated equation to simple yet equal equation in quadratic form.

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Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If

svetoff [14.1K]

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

8 0

3 years ago

The probability of flipping a coin and noting Heads is 50%. If you flip the coin 100 times, what is the standard deviation of He

BaLLatris [955]

Answer: 5.000

Step-by-step explanation:

The formula to find the standard deviation for binomial distribution is given by :-

$\sigma=\sqrt{np(1-p)}$ , where p is the probability of getting success in each trial and n is the number of trials.

Given : The probability of flipping a coin and noting Heads is = 0.50

The total number of trials = 100

Then , the standard deviation of Heads to be noted will be :-

$\sigma=\sqrt{100(0.50)(0.50)}=5.000$

Hence, the standard deviation of Heads to be noted = 5.000

5 0

3 years ago

How many virtical angles are there? a)m 4 b) 8 c) 11 d) 14

lara31 [8.8K]

A) 4

∠14 & ∠12
∠11 & ∠13
∠10 & ∠8
∠7 & ∠9

vertical angles are angles directly opposite of each other and are of the same measurement.

hope this helps

5 0

4 years ago

1/2 -(-1/3 + 2/5) = what is the answer ? thank you for helpings means alot to me

taurus [48]

The answer would come out to 13/30

7 0

3 years ago

Solve the math problem

Nadusha1986 [10]

Answer:

Below!

Explanation:

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

2¹ = 2
3⁵ = 3 x 3 x 3 x 3 x 3 = 243
4³ = 4 x 4 x 4 = 64
6⁴ = 6 x 6 x 6 x 6 = 1256
7⁴ = 7 x 7 x 7 x 7 = 2401
1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
8² = 8 x 8 = 64
2³ = 2 x 2 x 2 = 8
4⁴ = 4 x 4 x 4 x 4 = 256
10³ = 10 x 10 x 10 = 1000
12² = 12 x 12 = 144
5⁴ = 5 x 5 x 5 x 5 = 625
6² = 6 x 6 = 36
3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
7³ = 7 x 7 x 7 = 343
2⁴ = 2 x 2 x 2 x 2 = 16
11⁰ = 1
4³ = 4 x 4 x 4 = 64
1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0

3 years ago