Question

question 6 (mandatory) (1 point) saved
what information can you gather immediately from a quadratic function written in standard form?

a) equation of the axis of symmetry

b) y-intercept

c) domain

d) vertex

Explanation:

The standard form of a quadratic function is \( y = ax^2 + bx + c \). To find the \( y \)-intercept, we set \( x = 0 \), so \( y = c \). Thus, the \( y \)-intercept (\( c \)) is immediately visible from the standard form. The axis of symmetry (\( x = -\frac{b}{2a} \)) requires calculation, the domain of a quadratic function is all real numbers (not specific to standard form), and the vertex (\( (-\frac{b}{2a}, f(-\frac{b}{2a})) \)) also requires calculation. So option b is correct.

Answer:

b) \( y \)-intercept