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

1 answer

The equation of the axis of symmetry for a parabola of the form 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 is given by 𝑥 = -𝑏/2𝑎.

In this case, 𝑦 = 𝑥2 − 10𝑥 + 16, so 𝑎 = 1, 𝑏 = -10, and 𝑐 = 16.

Therefore, the equation of the axis of symmetry is:

𝑥 = -𝑏/2𝑎 = -(-10)/2(1) = 5

So the equation of the axis of symmetry is 𝑥 = 5.