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

find Identify the 𝑥-intercepts of the parabola

1 answer

To find the 𝑥-intercepts of the parabola, we need to set 𝑦 equal to zero:

0 = 𝑥2 − 10𝑥 + 16

We can factor the quadratic equation as:

0 = (𝑥 − 2)(𝑥 − 8)

Therefore, the 𝑥-intercepts of the parabola are 2 and 8.