explain what a,h, and k do to transform the parent absolute function y=|x| to the function y= a|x|…

Explain What A,h, And K Do To Transform The Parent Absolute Function Y=|x| To The Function Y= A|x|

Answers

Answer 1

The a ,h and k values affect the parent absolute function ,by altering  the the size , causing horizontal and vertical movements respectively.

How do the a , h and k values affect the function?

a )a values

a values affect the size of the graphed parent absolute function and they have a scalar factor.When a is greater than 1 , we have a vertical stretch (Taller appearance )and a horizontal compression (Thinner appearance).When a is between 0 and 1 , we have a vertical compression( Shorter appearance) and a horizontal stretch ( wider appearance).

b ) h values

h values cause left or right movement of the graph, which is known as the horizontal shift or translation.When h is negative, the graph moves right.When h is positive , the graph moves left.

c ) k values

k values cause up and down movement ,which is known as the vertical shift or translation.When k is negative, the graph moves down.When k is positive , the graph moves up.

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Related Questions

Q12) 150 Chinese Yuan is about $21 US dollars. How much (in US dollars) will an item cost in 700 Chinese Yuan?​

Answers

Answer:

Step-by-step explanation:

Set up the equation:

21/150=x/700

Cross multiply 150*x and 21*700

14700=150x

Divide each side by 150

98=x

Helen had $330 in her savings account when Vince
opened a savings account with zero
dollars.
Helen deposited $30
into her account each week for x week;
Vince deposited $50 into his account
each week for x weeks.
The accounts did not earn
interest.
Which inequality represents this situation when the amount of money in Helen's account wa
greater than the amount of money in Vince's account?

Answers

Answer:

Step-by-step explanation:

50x < 330 + 30x

see picture for question

Answers

The percentage error is 0.67%

What is Linear approximation ?

A linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.

The formula is

L(x) = f(a) + f'(a) (x - a)

Given,

y = sin(2x)

Δx = 0.1 at x = 0

y'(x) = dy/dx = 2 cos 2x    

As, x = 0

y'(0) = 2 cos 0

we know, cos 0 = 1

y'(0) = 2      

Δy = y'(x) * Δx

    = y'(0) * Δx

   = 2 * 0.1

Δy = 0.2  (Approx value)

Exact value of Δy = sin(2 * 0.1) - sin 0

                            = sin(0.2) - 0

                             = 0.19867

% error = [ (Exact value - Approx value) / Exact value ] * 100

           =  [ (0.2 - 0.19867) / 0.19867 ] * 100

          = 0.66945 or 0.67%

Hence, the percentage error is 0.67%

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find the value of b/a if a+1/b-1=5/1 and a-1/b+1=1/1

Answers

Answer:

  1/2

Step-by-step explanation:

You want the value of b/a when (a+1)/(b-1)=5/1 and (a-1)/(b+1)=1/1.

Solution

The latter equation tells you ...

  a -1 = b +1

  b = a -2

Then the first equation tells you ...

  a +1 = 5(b -1)

  a +1 = 5(a -2 -1) substitute for b

  a +1 = 5a -15 . . . . eliminate parentheses

  16 = 4a . . . . . . . . add 15 -a

  4 = a . . . . . . . . . divide by 4

  b = a -2 = 4 -2 = 2 . . . . find the value of b

  b/a = 2/4 . . . . . . . . . . find the desired ratio

  b/a = 1/2

in a class of 50 student 35 are girls what is the probability that a student selected at random is a boy​

Answers

There are 50 students. If 35 are girls, then 15 are boys.

50 x 2 = 100%
So
15 boys x 2 = 30%

Answer= 30%

Have a happy thanksgiving ^^
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