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.
answer:

Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is
, where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is

I think it’s b! i hope that helps!
Answer:
1. 1/6
2. 1/9
3. 1/10
4.it would still be 9/10
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I cant answer that one sorry
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4 (im a little less confident in this one :( )
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1/4
Well first do you parentheses and the multiply all of your exponets