Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
1 answer:
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
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Given:
32 and 28 are the two numbers.
To find:
(a) The GCF of 32 and 28.
(b) Using the GCF, find the factor of (32-28).
Solution:
(a)
The factor forms of the given numbers are:
It is clear that, 2 and 2 are the common factors in both.
Hence, the GCF of 32 and 28 is 4.
(b)
Using the GCF we need to find the factor of (32-28).
Taking out the GCF, we get
Hence, .
