For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
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Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
9x - 8(x - 6) = 52
Step 2: Solve for <em>x</em>
- Distribute -8: 9x - 8x + 48 = 52
- Combine like terms: x + 48 = 52
- Subtract 48 on both sides: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9(4) - 8(4 - 6) = 52
36 - 8(-2) = 52
36 + 16 = 52
52 = 52
Answer:
1. 14.666 ¯ over the 3
2. 14.034 ¯ over the 3
Step-by-step explanation:
EDF and GHL are similar. The scale factor is 1/2.
Answer:
Hence MAD=0.8
Step-by-step explanation:
<u>MAD-</u>
MAD is also known as Mean Absolute Deviation.
We find MAD by the following steps:
- Firstly we find the mean of the data
- Then we subtract each entry from the mean to obtain the deviation
- Then find the absolute value of the deviation which is also known as absolute deviation.
- Finally we find the mean of the absolute deviation.
Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.
The absolute deviation is given as:
1 3 1 0 0 1 0 0 1 1
The mean of this is calculated as:

Hence, MAD=0.8