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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Answer:
Step-by-step explanation:
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Answer:
Part 1: or
Part 2:
Step-by-step explanation:
To start things off, you must put everything on the opposite side of y so that you only have the y variable left.
In this case, put x onto the other side, making it negative since it's flipped, so you get (since the x is negative you're using subtraction from 11).
Next, divide both sides by 5 to make 5y into y:
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For the second part you must replace x with 2 since you need to find f(2).
Your answer for part 2 is .