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klasskru [66]
3 years ago
9

PLEASE HELP!!!!!!!!! :(

Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

Co-ordinates after 90 degree clockwise rotation:-

S = -4, -3

R = -4, -6

P = -7, -3

Q= -7, -6

Step-by-step explanation:

Original co-ordinates:-

S = 3,-4

R = 6,-4

P = 3,-7

Q = 6, -7

90 degree clockwise formula = (y,-x)

After conversion:-

S = -4, -3

R = -4, -6

P = -7, -3

Q= -7, -6

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

f(x)=2(x-2)^2-8

Part b) The function’s equation written in factored form is equal to

f(x)=2x(x-4)

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

f(x)=a(x-h)^2+k

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

f(x)=a(x-2)^2-8

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2

therefore

The function’s equation written in vertex form is

f(x)=2(x-2)^2-8

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

f(x)=a(x-0)(x-4)

f(x)=ax(x-4)

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

-8=a(2)(2-4)\\-8=-4a\\a=2

therefore

The function’s equation written in factored form is equal to

f(x)=2x(x-4)

4 0
4 years ago
See attachment for questions.
goldfiish [28.3K]
The solution is attached. I hope it helps

3 0
3 years ago
Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0
Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{3.39675}{6} = 0.566125

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358

Thus, the standard deviation for given data is

Option C) 0.2358

7 0
3 years ago
Recognize functions from graphs, yes or no
never [62]

Answer:

If your asking whether the graph shown is a function or not the answer is yes it is a function.

Step-by-step explanation:

There is a test called the vertical line test that states if you can draw a vertical line anywhere on the graph and it only passes through one point then the graph represents a function.

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3 years ago
Help me out !!!!! Please
Stella [2.4K]
4x-t-4 is the final answer.
4 0
3 years ago
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