Question

question 3 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 - h)^2 + v\\)

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

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

Explanation:

Identify the standard form of a vertical parabola

$$ y = a(x - x_0)^2 + y_0 $$

Substitute the given vertex coordinates

$$
LATEXBLOCK0
$$

Match with the given options

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

Answer:

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