Kis a nonzero integer and the graph of a parabola "y = x² + 2kx + 4k" is tangent to the x-axis. what is the value of "k"? (a) - 4 (b) 0 (c) 2 (d) 4

Since the function is tangent to the x-axis, it has a repeated root. That is the discriminant is zero.

For



But


This means that,






since k is non zero,



<b>The answer is D</b>

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.