Explanation is in the file
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Answer:
the awnser should have is. b
Answer: The value of k is 5 units.
Step-by-step explanation:
Since we have given that
The graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k
If g(x) is obtained by shifting f(x) down by 5 units,
Then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5
Hence, k = 5 units
Therefore, the value of k is 5 units.
What don't you get about the problem ?
0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs
We have r=1.5+√2, s=1.5 -√2 so r+s = 3 and
rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25
f(x) = x² - 3x + -.25
For integer coefficients we mulitply by 4,
g(x) = 4f(x) = 4x² - 12x - 1
Answer: 4x² - 12x - 1 = 0