The values of a, h, and k in the general equation is h=1, k=4 and a=2
What is parent function?
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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