To find the transformation of a function, we need to know the basic parameters in the transformation, namely, a, h and k.
For a transformation from f(x) to g(x), given by
g(x)=a*f(x-h)+k
h = horizontal translation (to the right)
k=vertical translation (upwards)
For a>0,
0<a<1 = a vertical shrink by a scale factor of a.
a=1 no vertical stretch nor shrink
1<a = vertical stretch by a scale factor of a.
a<0 implies a reflection about the x-axis PLUS the same stretch/shrink as described above replacing a by |a|.
For the given case
g(x)=-2log(x-1) where f(x)=log(x), then
g(x)=(-2) log (x-1) +0
implying that a=-2, h=1, k=0
meaning there is a reflection about the x-axis, with a vertical stretch factor of |a|=|-2|=2, a horizontal translation to the right of h=1 and a vertical translation of k=0. This are the three transformations that you can select from the given list, neglecting k=0 which means no vertical translation.
Answer:
Step-by-step explanation:
<u>SOH CAH TOA</u>
Where:
s = sin
c = cos
t = tan
o = opposite
a = adjacent
h = hypotenuse
cos = 2/3 where 2 is adjacent side and 3 is hypotenuse, now find opposite side using a^2 + b^2 = c^2 //c is hypotenuse side
2^2 + b^2 = 3^2
4 + b^2 = 9
b^2 = 9 - 4
b^2 = 5
b = square root (5) = 5^(1/2) //opposite side
sin = O/H
//Hope it helps.
The percent markup is 40% cost: $2.50/hammer *40%=1.00 Cost+markup=3.50
Answer:
39 degrees (ABC)
Step-by-step explanation:
The whole of the angle shown (ABD) = 107 degrees
EBD = 34
Since BE bisects CBD, both CBD and EBC are equal (half of 68)
107 - 68 = 39
ABC = 39
