Step-by-step explanation:
recall for any function f(x)
Vertical translations by "a" units are given simply by
f(x) + a,
where positive values of a translates the graph in the positive y direction (i.e up) and negative values of a translates the graph in the negative y direction (i.e down)
Horizontal translations by "b" units are given by
f(x-b),
where negative values of a translates the graph in the negative x direction (i.e left) and postive values of a translates the graph in the postive x direction (i.e right)
if we combine the two above, we get the expression
g(x) = f(x-b) + a
In our case, we see that to get from the blue graph to the red graph, we need to translate 3 units in the positive x-direction (i.e b = 3) and 4 units in the negative y-direction (i.e a = -4)
Substituting b = 3, a = -4 and that f(x) = |x|,
we get
g(x) = |x-(3)| - 4
g(x) = |(x-3)| - 4
Answer:
0.52 units³
Step-by-step explanation:
volume = 4/3 × 22/7 × (½)³ =
88/21 × 1/8 = 11/21= 0.52 units³
The equation of the line that is parallel to the given line, through the given point is y = -5x - 7
Given equation,
y = -5x + 1
Slope = m
= -5
For two lines to be parallel, slope is equal.
Therefore, m = -5 for another line.
Let the equation of the line be y = mx + c
This line passes through A(-2,3)
Therefore, 3 = -5(-2) + c
3 = 10 + c
c = 3 - 10
= -7
Hence, equation of line is y = -5x - 7.
To learn more about equation of the line here:
brainly.com/question/21511618
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Answer:
C
Step-by-step explanation:
Becuase 68 is closer to c than b
Your answers is
(1,-1)
(2,1)
