A function is shown: f(x) = 16x2 − 1. Choose the equivalent function that best shows the x-intercepts on the graph.

Step-by-step explanation:

f(x) = 16x² - 1

The x-intercepts are the roots, i.e., the values of x for which f(x) = 0.

Use the Quadratic Formula to determine the roots.

x = [0±√0²-4·16(-1)]/[2·16] = ±√64/32 = ±8/32 = ±¼

f(x) = 16(x-¼)(x+¼) = (4x-1)(4x+1)

f(x) = 16x² - 1

The x-intercepts are the roots, i.e., the values of x for which f(x) = 0.

Use the Quadratic Formula to determine the roots.

x = [0±√0²-4·16(-1)]/[2·16] = ±√64/32 = ±8/32 = ±¼

f(x) = 16(x-¼)(x+¼) = (4x-1)(4x+1)