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

Question

Identify the 𝑥-intercepts of the parabola

Answer 1

To find the 𝑥-intercepts of the parabola, we set y = 0 and solve for x:

0 = x^2 - 10x + 16

We can factor the quadratic as (x-2)(x-8) = 0, or use the quadratic formula:

x = [10 ± √(10^2 - 4(1)(16))] / 2
x = [10 ± √36] / 2
x = 5 ± 3

So the 𝑥-intercepts of the parabola are at x = 2 and x = 8.