Question

what is the axis of symmetry (aos) for (y = x^2 - 4x - 5)?

• (x = -2)
• (x = -1)
• (x = 2)
• (x = -5)

Explanation:

⚡ Using what you learned: vertex and axis of symmetry

Step 1: Identify coefficients

$$ y = ax^2 + bx + c \implies a = 1, \quad b = -4 $$

Step 2: Apply axis of symmetry formula

$$ x = -\frac{b}{2a} $$

$$ x = -\frac{-4}{2(1)} $$

$$ x = \frac{4}{2} = 2 $$

Answer:

\( x = 2 \)