A parabola is defined by the equation 𝑦 = 𝑥2 − 10𝑥 + 16.

State the equation of the axis of symmetry

1 answer

To find the equation of the axis of symmetry, we need to use the formula:

x = -b/2a

where a is the coefficient of the squared term and b is the coefficient of the linear term.

In the given equation, a = 1 and b = -10.

Thus,

x = -(-10)/2(1)

x = 5

Therefore, the equation of the axis of symmetry is x = 5.