The new function is g(x) =-1(1/-x) +2.
The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.
Convert f(x) to g(x)
where the conversion is g(x)=f(x)+2.
A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)
So, f(x)=-x-2 ; m = -1
From the above information, we get g(x) as follows.
g(x) =-1(1/-x) +2
More problems related to finding new functions for a given function are below.
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Lights flash every four seconds. the store owner turns on the lights. After how many seconds Will all three lights flash at the same time for the first ...
Answer:
Step-by-step explanation:
The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.
The ormua for calculating mid point is expressed as;
M(X,Y) ={(x21+x2/2, y1+y2/2}
X= x1+x2/2
Y = y1+y2/2
From the coordinates
x1 = 18 x2 = 4
X= 18+4/2
X = 22/2
X = 11
y1= -13, y2= -3
Y = -3-13/2
Y = -16/2
Y = -8
Hence the required centre will be at (11,-8)
AB means A X B so you have to do 14 / 9 which is 1.5 or there abouts.
Hey
Area of first rectangle = 18 x 21 = 378 in^2
Area of second rectangle = 17 x 9 = 153 in^2
Total area = 378+153 = 531 in^2
Option 1
Hope this helps :)
