Answer:
[tex]\displaystyle k = -\frac{1}{8}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle y = kx^3[/tex]
And we want to determine the value of k such that the graph passes through the point (-2, 1).
Hence, when x = -2, y = 1. Substitute:
[tex]\displaystyle (1) = k(-2)^3[/tex]
Simplify:
[tex]\displaystyle 1 = -8k[/tex]
Hence:
[tex]\displaystyle k = -\frac{1}{8}[/tex]
