Find the coordinates of the centroid of the triangle with the given vertices. A(0,4), B(1,1), C(-2,6)
1 answer:
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Answer:
1) shifts f(x) 4 units down = g(x) =
2) stretches by factor 4 = g(x) =
3) shifts f(x) 4 units right = g(x) =
4) compresses by factor 4 = g(x) =
Step-by-step explanation:
1)<em> When we have to move the function down by 4 units, subtract the whole function by -4, that is y -4.</em>
Thus, f(x) becomes g(x) = =
2) <em>When the function is stretched away from x axis, it means in Y direction.</em>
<em> Thus, when stretched 4 units in Y direction, the function becomes 4(f(x))</em>
= g(x) = =
3)<em>When we have to move the function right by 4 units, replace x with (x-4) in the function.</em>
Thus, f(x) becomes g(x) = =
=
4) <em>When the function is stretched towards y axis, it means in X direction.</em>
<em> Thus, when compressed 4 units in X direction, replace the x by 4x.</em>
= g(x) = =
Answer:
---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
<em>Hence: x > 50 in interval notation is (50, ∞)</em>