Answer:
the answer is 11/3
Step-by-step explanation:
Shown in the attached figure
<h2>
Explanation:</h2>
The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:
![f(x)=\mid x \mid](https://tex.z-dn.net/?f=f%28x%29%3D%5Cmid%20x%20%5Cmid)
So we need to use this function in order to obtain:
![g(x)=\mid x+2 \mid -4](https://tex.z-dn.net/?f=g%28x%29%3D%5Cmid%20x%2B2%20%5Cmid%20-4)
Recall that to translate a function vertically, we use the following rule:
![g(x)=f(x)+k \\ \\ \bullet \ If \ k>0 \ the \ graph \ of \ f(x) \ is \ translated \ k \ units \ up \\ \\ \bullet \ If \ k](https://tex.z-dn.net/?f=g%28x%29%3Df%28x%29%2Bk%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20If%20%5C%20k%3E0%20%5C%20the%20%5C%20graph%20%5C%20of%20%5C%20f%28x%29%20%5C%20is%20%5C%20translated%20%5C%20k%20%5C%20units%20%5C%20up%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20If%20%5C%20k%3C0%20%5C%20the%20%5C%20graph%20%5C%20of%20%5C%20f%28x%29%20%5C%20is%20%5C%20translated%20%5C%20k%20%5C%20units%20%5C%20down)
And to translate a function horizontally, we use the following rule:
![g(x)=f(x+c) \\ \\ \bullet \ If \ c>0 \ the \ graph \ of \ f(x) \ is \ translated \ c \ units \ to \ the \ left \\ \\ \bullet \ If \ c](https://tex.z-dn.net/?f=g%28x%29%3Df%28x%2Bc%29%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20If%20%5C%20c%3E0%20%5C%20the%20%5C%20graph%20%5C%20of%20%5C%20f%28x%29%20%5C%20is%20%5C%20translated%20%5C%20c%20%5C%20units%20%5C%20to%20%5C%20the%20%5C%20left%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20If%20%5C%20c%3C0%20%5C%20the%20%5C%20graph%20%5C%20of%20%5C%20f%28x%29%20%5C%20is%20%5C%20translated%20%5C%20c%20%5C%20units%20%5C%20to%20%5C%20the%20%5C%20right)
Since:
![c=2>0 \ and \ k=-4](https://tex.z-dn.net/?f=c%3D2%3E0%20%5C%20%20and%20%5C%20k%3D-4%3C0)
Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
<em />
<h2>
Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
#LearnWithBrainly
Answer:
80+40x
Step-by-step explanation:
-5x2(2x2-4x-12)
-10(2x2-4x-12)
-20-20+40x+120
-40+120+40x
80+40x
Answer:
6.02775720469
Step-by-step explanation:
step one: double check with calculator pls :)
step two pls <u><em>brainliest </em></u>
In a cartesian plane, there are two axes, the x and y axes. The independent component of the graph is the x - component or the value of the abscissas. Moreover, the dependent variable of the graph is in the y-axis or in the ordinates.