Question

You are asked to graph a parabola given the equation y=14x2−2x+7
. At which point would you graph the vertex of the parabola?(1 point)
Responses

(4,3)
left parenthesis 4 comma 3 right parenthesis

(4,1)
left parenthesis 4 comma 1 right parenthesis

(4,4)
left parenthesis 4 comma 4 right parenthesis

(4,2)

Answer 1

For y = 14x^2 − 2x + 7, the vertex x-coordinate is x = −b/(2a) = −(−2)/(2·14) = 1/14.
Then y = 14(1/14)^2 − 2(1/14) + 7 = 97/14 ≈ 6.9286.

So the vertex is (1/14, 97/14) ≈ (0.0714, 6.9286). None of the given choices (all with x = 4) are correct.