Question

Which function has only one x-intercept at (-6, O)?

of
o f(x) = x(x 6)
of(x) = (x - 6)(x - 6)
o f(x) = (x + 6)(x – 6)
Of(x) = (x + 6)(x + 6)​

Answer 1

f(x) = (x + 6)(x + 6)​

Explanation:

When you find the x-intercept of a factored equation for a graph, equate each factor to 0 and isolate "x".

Since there is only one x-intercept, there can be only one expression that you equate to 0. This cancels out options 1 and 3.

The x-intercept is the opposite of what is in the equation because in x-intercept form, the x-intercepts are the negatives of what is shown.

The negative of -6 is +6.

x + 6 = 0

x + 6 - 6 = 0 - 6

x = -6

The y-coordinate will be 0 for an x-intercept,

(-6, 0)