If a translation of
t="T_{-3,-8} (x,y)" align="absmiddle" class="latex-formula"> is applied to square ABCD, what is the y-coordinate of B'?
1 answer:
The y-coordinate of B' after the translation is -6
<h3>How to determine the y-coordinate of B'?</h3>From the graph, the coordinate of B is given as:
B = (1,2)
The translation means:
(x,y) ⇒ (x - 3, y - 8)
So, we have:
B' = (1 - 3, 2 - 8)
Evaluate the difference
B' = (-2, -6)
Remove the x-coordinate
B' = -6
Hence, the y-coordinate of B' is -6
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Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.