Question

You are asked to graph a parabola given the equation y=1/4x2−2x+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

Use x = −b/(2a). Here a = 1/4, b = −2, so x = −(−2)/(2·(1/4)) = 4.
y = (1/4)(4^2) − 2·4 + 7 = 4 − 8 + 7 = 3.

Vertex = (4, 3).