Use function notation to describe the following transformation of f(x): Vertical compression by a factor of 10
Answers
Answer:
We have a function notation for the transformation that would change f(x) to have a vertical compression by a factor of \frac{1}{8}
8
1
, reflection over the x axis, up 6 and right 2.
Step 1:
Vertical compression by a factor \frac{1}{8}
8
1
, this means decreasing value of function by a factor of \frac{1}{8}
8
1
. Function becomes \frac{f(x)}{8}
8
f(x)
.
Step 2:
Reflection over x-axis means rotating f(x) by 180° over origin . Function now is -\frac{f(x)}{8}−
8
f(x)
.
Step 3:
Up 6 , means value of function is increased by 6 , Function now is \frac{-f(x)}{8} + 6
8
−f(x)
+6 .
Step 4:
Right 2, means shifting function to 2 units on right side i,e, on x-axis.
∴Function finally becomes, \frac{-f(x)}{8} +6 - 2
8
−f(x)
+6−2 which is 4 - \frac{f(x)}{8}4−
8
f(x)
.
Step-by-step explanation:
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