Given: BC ≅ CD and AC bisects ∠BCD
1 answer:
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Based on the docx you showed me, the equation for the parabola is 
and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).
If you use these two points to create a line we get the equation:
(I just used point slope form)
This can be simplified to:
Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:
and the x-intercept: 
.
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0
If you use these two points to create a line we get the equation:
This can be simplified to:
Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0
Answer:
31. 1) Vertical shift up 4 units.
2) Horizontal shift right 1 unit.
3) Vertically stretched by a factor of 3.
32.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
- If , the function is shifted up "k" units.
- If , the function is shifted down "k" units.
- If , the function is shifted left "k" units.
- If , the function is shifted right "k" units.
- If , the function is reflected over the x-axis.
- If and
, the function is stretched vertically by a factor of "b".
31. Given the function and the function
, we can notice that the transformations from the graph of f(x) to the graph of g(x) are:
1)
2)
3) , being
Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:
1) Vertical shift up 4 units.
2) Horizontal shift right 1 unit.
3) Vertical stretch by a factor of 3.
32. Knowing the parent function:
And given the transformations:
1) Reflection over the x-axis.
2) Horizontal shift left 3 units.
3) Vertical shift up 7 units.
We can define that the function g(x) is: