Question

question 9 of 10

which equation describes a parabola that opens left or right and whose vertex is at the point \\((h, v)\\)?

a. \\(x = a(y - v)^2 + h\\)
b. \\(y = a(x - v)^2 + h\\)
c. \\(y = a(x - h)^2 + v\\)
d. \\(x = a(y - h)^2 + v\\)

Explanation:

Identify the standard form for a horizontal parabola

$$ x = a(y - k)^2 + h $$

Substitute the given vertex coordinates

$$ (h, k) = (h, v) \implies x = a(y - v)^2 + h $$

Match with the given options

$$ \text{Option A: } x = a(y - v)^2 + h $$

Answer:

• A. \(x = a(y - v)^2 + h\) (Correct answer)
• B. \(y = a(x - v)^2 + h\)
• C. \(y = a(x - h)^2 + v\)
• D. \(x = a(y - h)^2 + v\)