Solve the equation for the value of x -3x=57 Please show your work, thank you.
1 answer:
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Given:
The parent function is:
This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.
To find:
The function after the given transformations.
Step-by-step explanation:
The transformation is defined as
... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If k<0, then the graph of f(x) is reflected over the x-axis.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the graph of f(x) shifts 1 unit left, so a=1.
The graph of f(x) vertically stretch by a factor of 3, so |k|=3.
The graph of f(x) reflected over the x-axis, so k=-3.
There is no vertical shift, so b=0.
Putting in (i), we get
Therefore, the correct option is B.
Although the graph is not given in the option, so I would consider it from a different graph with the same question. The graph that represents the area of each rectangle in terms of the change in the length and width is the one with coordinate points located on the grid. The coordinate points on the form of (x,y) are represented as:
1. (0,40)
2. (1,45)
3. (2,47)
4. (8,25)
Hence,The graph with these coordinate points will be representing the situation.
1. (0,40)
2. (1,45)
3. (2,47)
4. (8,25)
Hence,The graph with these coordinate points will be representing the situation.