What are some ways to describe the relationship between sets of numbers?
1 answer:
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Answer:
NONE OF THE OPTIONS GIVEN
Step-by-step explanation:
F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape
I believe it should be f(x) = 2(x - 3) + 1
if g(x) = x
here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.
The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.
Answer:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1
Step-by-step explanation:
Initially:
We have the function
k(x + 1)
To translate a function k(x) a units to the left, we find k(x + a).
Thus, k(x+1) is the translation of k(x) 1 unit to the left.
-k(x+1)
Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.
Thus:
The answer is given by option A:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1