Answer:
f(x) = (x + 6)(x + 6)
Step-by-step 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)
