Answer:
Coordinates are (–6, 0), (2,0).
Step-by-step explanation:
Given the function [tex]f(x) = x2+4x-12[/tex]
we have to find the x-intercepts of the graph of the function f(x).
[tex]y = x2+4x-12[/tex]
As the value of y coordinate is 0 on x-axis which gives the x-intercepts of the function.
Put y=0 in above function we get the x-intercepts.
[tex]x^2+4x-12=0[/tex]
⇒ [tex]x^2+6x-2x-12=0[/tex]
⇒ [tex]x(x+6)-2(x+6)=0[/tex]
⇒ [tex](x-2)(x+6)=0[/tex]
⇒ x=2 and x=-6
Hence, x-intercepts are 2 and -6
⇒ Coordinates (–6, 0), (2,0).
Option 1 is correct.
