Question

2.4.4 quiz: parabolas with vertices not at the origin
question 7 of 10
which equation describes a parabola that opens up or down and whose vertex is at the point (h, v)?
a. x = a(y - v)^2+h
b. y = a(x - v)^2+h
c. x = a(y - h)^2+v
d. y = a(x - h)^2+v

Explanation:

The standard - form equation of a parabola that opens up or down with vertex \((h,v)\) is \(y = a(x - h)^2+v\), where \(a
eq0\). If \(a>0\), the parabola opens up; if \(a < 0\), the parabola opens down.

Answer:

D. \(y = a(x - h)^2+v\)