Find a constant c such that the graph of y = x² + 8x + c has its vertex on the x-axis. A) 16 B) -16 C) -8 D) 8

Name: Find a constant c such that the graph of y = x 2 + 8x + c has its vertex on the x-axis. A) 16 B) -16 C) -8 D) 8
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The vertex form of a quadratic is y = a(x-h)^2 + k, where (h, k) is the vertex. For the vertex to be on the x-axis, k must be 0. Completing the square for y = x^2 + 8x + c gives (x+4)^2 - 16 + c. Setting -16 + c = 0, we find c = 16.

Find a Constant C Such That the Graph of Y