Answer:
B
3 = square root of the quantity of x minus 4 all squared plus y minus 2 all squared
Step-by-step explanation:
I have done it B4
Answer: A) stretched vertically by 2 and shifted up 6 units
<u>Step-by-step explanation:</u>
y = A log(Bx - C) + D where
- A = vertical stretch by a factor of A
- B = horizontal shrink by a factor of 1/B
- C = horizontal shift C units (positive = right, negative = left)
- D = vertical shift D units (positive = up, negative = down)
Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
Answer:
my best guess is A
Step-by-step explanation:
To find the function that has the following end behavior:
![\begin{gathered} f(x)\rightarrow-\infty\text{ as }x\rightarrow\infty \\ f(x)\rightarrow\infty\text{ as }x\rightarrow-\infty \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%5Crightarrow-%5Cinfty%5Ctext%7B%20as%20%7Dx%5Crightarrow%5Cinfty%20%5C%5C%20f%28x%29%5Crightarrow%5Cinfty%5Ctext%7B%20as%20%7Dx%5Crightarrow-%5Cinfty%20%5Cend%7Bgathered%7D)
Considering the function which is given in option C.
When x tends to infinity,
![\begin{gathered} f\mleft(x\mright)=-x^3-4x^2+x \\ \lim _{x\to\infty}(-x^3-4x^2+x)=-\infty \\ \lim _{x\to-\infty}(-x^3-4x^2+x)=\infty \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%5Cmleft%28x%5Cmright%29%3D-x%5E3-4x%5E2%2Bx%20%5C%5C%20%5Clim%20_%7Bx%5Cto%5Cinfty%7D%28-x%5E3-4x%5E2%2Bx%29%3D-%5Cinfty%20%5C%5C%20%5Clim%20_%7Bx%5Cto-%5Cinfty%7D%28-x%5E3-4x%5E2%2Bx%29%3D%5Cinfty%20%5Cend%7Bgathered%7D)
In other words, the degree of the given function is 3.
That is, odd.
The leading coefficient is -1.
That is, negative.
Hence, the end behavior is,
![\begin{gathered} f(x)\rightarrow-\infty\text{ as }x\rightarrow\infty \\ f(x)\rightarrow\infty\text{ as }x\rightarrow-\infty \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%5Crightarrow-%5Cinfty%5Ctext%7B%20as%20%7Dx%5Crightarrow%5Cinfty%20%5C%5C%20f%28x%29%5Crightarrow%5Cinfty%5Ctext%7B%20as%20%7Dx%5Crightarrow-%5Cinfty%20%5Cend%7Bgathered%7D)
Hence, the correct option is C.