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Savatey [412]
2 years ago
15

The graph of F(x) shown below resembles the graph of G(x) = x4, but it has

Mathematics
1 answer:
DerKrebs [107]2 years ago
3 0

Using translation concepts, the equation of F(x) is:

A. F(x) = \frac{1}{3}x^4 - 2

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

G(x) = x^4

For function F(x), we have that:

  • It was shifted down 2 units, hence F(x) = G(x) - 2.
  • It was vertically compressed by a factor of 3, hence F(x) = \frac{1}{3}G(x) - 2

Then the equation is:

A. F(x) = \frac{1}{3}x^4 - 2

More can be learned about translation concepts at brainly.com/question/28098112

#SPJ1

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What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
Cerrena [4.2K]

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

<u>Given the following data;</u>

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3

6 0
3 years ago
Please help apex ansers
goblinko [34]
The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)

In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0. 

x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x -  8) in our factorization. 

You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times. 
6 0
3 years ago
2x+4=4(x+1)−2 solve this equation
olchik [2.2K]

Answer:

x=1

Step-by-step explanation:

hope this helps :)

4 0
3 years ago
Read 2 more answers
Solve 2x2 + 20x = −38. (1 point)
RoseWind [281]

Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}


in this problem we have


x^{2} +10x+19=0

so


a=1\\b=10\\c=19


substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


x=\frac{-10(+/-)\sqrt{24}}{2}


x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


8 0
3 years ago
Read 2 more answers
The sum of the digits of a two-digit number is 9. When the digits are reversed, the new number is 9 more than the original numbe
Paul [167]

9514 1404 393

Answer:

  d.  45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

__

<em>Check</em>

  45 + 9 = 54 . . . with the digits reversed

4 0
3 years ago
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