PLS HELP ILL MARK BRAIN EXPLAIN HOW KNOW YOUR ANSWER!
2 answers:
Answer:
Step-by-step explanation:
The answer is that the graph shifts left and down. It shifts left beccuse the oth 4 and it shifts down because of the - 5.
You would say the same thing about y = (x + 4)^ - 5
Just to make it clear, I have included the graph.
The red line is y = 3^x
The blue line is y = 3^(x + 4) - 5
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Step-by-step explanation:
The translations of the typical functions are
Where a is the vertical translation,
If a is greater than 1 or less than -1, we have a vertical stretch
If a is between -1 and 1 , we have a vertical compressions or shrink.
If a is negative, we have a negative reflection across the x axis.
If b is greater than 1 or less than -1, we have a horizontal compression or shrink
If b is between -1 and 1, we have a horizontal stretch
If b is negative, we have a reflection about the y axis,
If c is negative, we have a translation to the right c units
If c is positive, we have a translation to the left c units
If d is positive, we have a translation upward d units
If d is negative, we have a translation downward d units.
Here in this problem, our parent function is x^3.
So I would do the following transformations.
- Reflect about the x axis
- Vertical Shrink by a factor of 1/2
- Horizontal Shrink by a factor of 3
- Shift to the left 4 units
- Shift downward 8 units.