Question

question 3 of 10

what is the standard form of the equation of a parabola that opens up or down?

a. (y = ax^2 + bx + c)
b. (x = a(y - v)^2 + h)
c. (x = ay^2 + by + c)
d. (y = a(x - h)^2 + v)

Explanation:

Identify vertical parabola orientation

$$ \text{A parabola opening up or down is vertical, meaning } y \text{ is a function of } x. $$

Identify standard form of a vertical quadratic

$$ y = ax^2 + bx + c $$

Match with the given options

$$ \text{Option A: } y = ax^2 + bx + c $$

Answer:

• (A) \(y = ax^2 + bx + c\) (Correct answer)
• (B) \(x = a(y - v)^2 + h\)
• (C) \(x = ay^2 + by + c\)
• (D) \(y = a(x - h)^2 + v\)