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

Answer 1

To find the 𝑥-intercepts of a parabola, we set 𝑦 = 0 in the equation and solve for 𝑥.

0 = 𝑥2 − 10𝑥 + 16

We can factor this trinomial:

0 = (𝑥 − 2)(𝑥 − 8)

Using the zero product property, we know that either 𝑥 − 2 = 0 or 𝑥 − 8 = 0.

So the 𝑥-intercepts are 𝑥 = 2 and 𝑥 = 8.