Question

You want to graph a parabola given the equation y=14x2+2x+2 . Which ordered pair would be the vertex of the graph?(1 point)

(−4, −1)

(−4, −2)

(−4, 0)

(−4, −4)
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Answer 1

Assuming the equation is y = (1/4)x^2 + 2x + 2 (so a = 1/4, b = 2), the x-coordinate of the vertex is x = -b/(2a) = -2/(2·1/4) = -4.
Evaluate y at x = -4: y = (1/4)(16) + 2(−4) + 2 = 4 − 8 + 2 = −2.

Vertex: (−4, −2).