Answer:
Step-by-step explanation:
Given
1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:
Where b is the number of units.
So, we have:
2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:
Find the difference between consecutive terms. If all of them in the sequence have the same difference, then it's an arithmetic sequence. The fourth answer, for example, is not an arithmetic sequence. The difference of 14 and 4 is 10 since 14-4=10. The difference of 24 and 14 is also 10. But the difference between 32 and 24 is 8. Since 8 isn't the same as the other differences, it's not an arithmetic sequence. That should be enough for you to determine which of the remaining sequences is arithmetic.
Answer:
a) x = -6
Step-by-step explanation:
5x - 14 = 8x + 4
-14 = 3x + 4
-18 = 3x
x = -6
Divide the original size by the reduced size:
48 / 8 = 6
36 / 6 = 6
Both sides were reduced by the same amount, and because the image was made smaller the scale factor would be a fraction less than 1.
The scale factor would be 1/6
The answer is B.
