Convert units to solve. (CC.6.RP.3d)
1 answer:
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Answer:
a) the gradient of the linear graph is:
b) the y-intercept of linear graph is -1
Step-by-step explanation:
a) Find the gradient of the linear graph.
The formula used to find gradient is same as slope
Take any 2 points from the graph.
I will take: (-3,0) and (0,-1)
Putting values in formula and finding gradient
So, the gradient of the linear graph is:
b) Find the y-intercept of linear graph
The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.
So, in the given graph, that point is -1
So, the y-intercept of linear graph is -1
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Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
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Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6
