Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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Answer:
none of those?
Step-by-step explanation:
4(-2c) = -8c
Answer:
Step-by-step explanation:
![\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D%2B%5Csqrt%5B3%5D%7B2x%20%2B8%7D%3D0%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bx%2B4%7D%3D%20-%5Csqrt%5B3%5D%7B2x%20%2B%208%7D%5C%5C%5C%5C%28x%20%2B4%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D-%282x%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C)
Take cube,
![[(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\](https://tex.z-dn.net/?f=%5B%28x%2B4%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5D%5E%7B3%7D%20%3D-%20%5B%282x%20%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5E%7B3%7D%5D%5C%5C%5C%5C%28x%2B4%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%3D-%282x%20%2B%208%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C)
x + 4 = - (2x + 8)
x +4 = 2x *(-1) + 8 *(-1)
x+ 4 = -2x - 8
x +2x+4 = - 8
3x + 4 = - 8
3x = - 8 -4
3x = -12
x = -12/3
x = -4
Answer:
a) 95.99%
b) 4.01%
c) 00.62%
Step-by-step explanation:
Explanation is given in the attachments.