The values of a, h, and k in the general equation is h=1, k=4 and a=2
<h3>What is parent function?</h3>
The function which can be transformed into different ways is the parent function.
On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).
The given function is
y =a³ √(x -h) + k
Put the coordinate (0,2) in the equation, we get
2 = a³ √(0 -h) + k..................(1)
Plug (1, 4), we have
4 = a³ √(1 -h) + k..................(2)
Plug (2, 6), we have
6 = a³ √(2 -h) + k..................(3)
On solving these three equations, we have
h=1
k=4
a=2
Thus, value of h is 1, k is 4 and a is 2.
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The way to do this problem is by Spelling HAPPY THANKSGIVING and u put them in order by the lettter to a number.
73,15,41,41,12 16,73,15,33,10,24,17,23,50,23,3317
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H A P P Y T H A N K S G I V I N G
Hope This Helps
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
<span>x=8+1/3.33333333333
hope this helped</span>
