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TEA [102]
3 years ago
7

Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the tr

ansformation of the graph compared to the parent function.

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0

Answer:

<em>The parent function is</em><em> y=\sqrt[3]{x}.</em>

<em>The function is </em><em>translated </em><em>4 units to the left followed by </em><em>horizontal compress </em><em>by a factor of \frac{1}{2} and then </em><em>reflection </em><em>across y-axis.</em>

Step-by-step explanation:

We are given,

The transformed function is y=\sqrt[3]{-8x-4}.

Now, we see that,

The function is translated 4 units to the left, which gives us the translated function y=\sqrt[3]{-8x}.

The function is first compressed horizontally by a factor of \frac{1}{2}, which gives y=\sqrt[3]{-x}.

Now, this function is reflected across y-axis, which gives the parent function y=\sqrt[3]{x}.

Hence, we see that,

<em>The parent function is</em><em> y=\sqrt[3]{x}.</em>

<em>The function is </em><em>translated </em><em>4 units to the left followed by </em><em>horizontal compress </em><em>by a factor of \frac{1}{2} and then </em><em>reflection </em><em>across y-axis.</em>

fredd [130]3 years ago
6 0

The <em><u>correct answer</u></em> is:

Compared to the parent graph, this graph is compressed horizontally, reflected across the y-axis, and shifted right 4 units.

Explanation:

The parent function in this situation is y=\sqrt[3]{x}.

Algebraically, the changes we can see from the parent function to this function is that the variable is multiplied by 8, negated, and had 4 subtracted from it.

When we negate the variable, this reflects the graph across the y-axis.

When we multiply the variable by a number greater than 1, this horizontally compresses the graph.

When we subtract a number from the variable before taking the cubed root, this shifts the graph horizontally; specifically, it shifts it to the right.

Thus the graph will be reflected across the y-axis, horizontally compressed by 1/8, and shifted 4 units to the right.

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Please help me. i will mark you as most brilliance and give you 5 stars! Please be specific when answering. thank you! :)
serg [7]

Step-by-step explanation:

5x+52=9x+20

subtract 5x on both sides

subtract 20 on both sides

32=4x

divide by 4 on both sides

x=8

plug in x to the equations for A, D, and C

A and D are 92°

C is 56°

B and C will add up to 90, so

90-56=34°

13y-6=34

add 6 on both sides

13y=40

divide by 13

y=40/13 (I don't wanna calculate that)

7 0
3 years ago
What is 6.84 in word form
alexandr402 [8]
Six point eight four.

(Note, you don't say, "Six point eighty-four" As it doesn't sound correct.

Cheers.
5 0
3 years ago
Read 2 more answers
How do I simplify 7 to the power of 1
Savatey [412]

\huge\boxed{7}

Any number to the power of 1 is itself. So, 7^1 = \boxed{7}.

Here are some more examples:

382^1 = 382

0^1 = 0

\pi^1 = \pi

8 0
3 years ago
What is the result when 6x^3+25x^2+20x+46x
goldenfox [79]

Answer:

The answer to your question is 2x² - 29x + 26

Step-by-step explanation:

dividend =  6x³ - 25x² + 20x + 4

divisor    =  3x + 2

                             2x² - 29x + 26

               3x + 2    6x³ - 25x² + 20x + 4

                            -6x³ -   4x²  

                              0   - 29x² + 20x

                                   + 29x² + 58x

                                       0         78x + 4

                                                 -78x - 52

                                                    0   - 48

quotient =   2x² - 29x + 26

remainder = -48

Result =  2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4

6 0
3 years ago
True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why
Zepler [3.9K]

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

<h3>What is a quadratic equation?</h3>

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

  • Zero or Root means that when you evaluate the function in that value the outcome is zero.
  • X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

brainly.com/question/1214333

8 0
3 years ago
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