In the function y+2=1/3(x-4)^2
1 answer:
Answer:
The negative 4 translates the original function 4 units horizontally to the right
Step-by-step explanation:
The transformed graph is
and the parent function is
We need to find what effect does the "4" in the transformed function have with respect to the parent function. Lets look at a general form of a transformed quadratic function and see what each variable means:
This is the general form.
- +b means the graph is vertically translated b units down
- -b would have meant the graph would have been vertically translated b units up
- a transforms the parent by vertically stretching or compressing
- -c means the parent is shifted c units right
- +c would have meant the parent will be shifted c units left
In our transformed graph, we have a "-4", this means, according to the rules above, that:
the parent function is shifted 4 units to the right
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The row echelon form of the matrix is presented as follows;
The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.
The given matrix is presented as follows;
The conditions of a matrix in the row echelon form are as follows;
- There are row having nonzero entries above the zero rows.
- The first nonzero entry in a nonzero row is a one.
- The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.
Dividing Row 1 by -3 gives:
Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;
Subtracting Row 1 from Row 3 gives;
Adding Row 2 to Row 3 gives;
Dividing Row 2 by -2, and Row 3 by 18 gives;
The above matrix is in the row echelon form
Learn more about the row echelon form here:
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