Question

Find the equation of the axis of symmetry for the parabola

y = x² – 7x +13
Simplify any numbers and write them as proper fractions, improper fractions, or integers.

Answer 1

The equation of the axis of symmetry for the parabola y = x² – 7x + 13 is x = 7 / 2, using the formula x = -b / (2a).

Step-by-step explanation:

To find the equation of the axis of symmetry for the parabola defined by the equation y = x² – 7x + 13, we can use the formula for the axis of symmetry for a parabola in standard form, y = ax² + bx + c, which is x = -b / (2a). Here, 'a' is the coefficient of the x² term and 'b' is the coefficient of the x term.

In the given equation, a = 1 and b = -7. Plugging these values into the formula, we get:

x = -(-7) / (2 · 1)

x = 7 / 2

Hence, the equation of the axis of symmetry is x = 7 / 2.