Make y the subject of this formulae X=a-2by^2
2 answers:
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Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Answer:
Here's what I get
Step-by-step explanation:
Assume the function is a parabola.
The function has a maximum, so the parabola opens downward.
The maximum is at (-4,2), so the maximum is in the second quadrant.
The figure may look like the diagram below.
