Please could somebody help me on this one
1 answer:
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Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
Answer:
The slope of the line that contains the points (-1, 2) and (4, 3) is:
- Slope = m = 1 / 5
Step-by-step explanation:
Given the points
- (-1, 2)
- (4, 3)
Finding the slope between (-1, 2) and (4, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 2] / [4 - (-1)]
= 1 / 5
Thus, the slope of the line that contains the points (-1, 2) and (4, 3) is:
- Slope = m = 1 / 5