Question

ou are asked to graph a parabola given the equation y=14x2−2x+7
𝑦
=
1
4
𝑥
2
−
2
𝑥
+
7
. At which point would you graph the vertex of the parabola?(1 point)
Responses

(4,3)
(
4
,
3
)

open paren 4 comma 3 close paren - no response given

(4,4)
(
4
,
4
)

open paren 4 comma 4 close paren - no response given

(4,1)
(
4
,
1
)

open paren 4 comma 1 close paren - incorrect

(4,2)

Answer 1

First find x-coordinate: x = -b/(2a) = -(-2)/(2*(1/4)) = 2/(1/2) = 4.
Then y = (1/4)(4)^2 − 2(4) + 7 = 4 − 8 + 7 = 3.

Vertex = (4, 3).