For what value of k does the point (1/2; 2) belong to the parabola of equation y = kx²?

The point (1/2, 2) is a solution to y = 8x^2.

Step-by-step explanation:

Start with y = kx^2.  Substitute the y-coordinate (2) of the given point into this equation:  2 = kx^2.  Next, substitute the x-coordinate (1/2) into this equation:

2 = k(1/2)^2, or

2 = k/4, or k = 8.

The point (1/2, 2) is a solution to y = 8x^2.

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

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step-by-step explanation: