9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Answer:
Step-by-step explanation:
add 14.52 to both sides of the inequality to cancel that value out from the middle. Then you can divide both sides by 3x to get x by itself in the middle.
Not much can be done without knowing what
is, but at the least we can set up the integral.
First parameterize the pieces of the contour:
where
and
. You have
and so the work is given by the integral
Answer:
a) i) x = 6, y = 9
ii) 20
iii) -5
b) -40
Step-by-step explanation:
3(6) - 2(9)
18 - 18 = 0
greatest
3(10) - 2(5)
30 - 10
20
least
3(5) - 2(10)
15 - 20
-5
5(a - 4b)
5[-7 - 4(¼)]
5(-7 - 1)
5(-8)
-40
Answer:
Consider the parent logarithm function f(x) = log(x)
Now,
Let us make transformations in the function f(x) to get the function g(x)
•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.
•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)
Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is
g(x) = 3 log(x/2) (Option-B).
