Answer:
x=9 and x=5
OR
(9,0) and (5,0)
Step-by-step explanation:
Use vertex form to solve for the unknown variable
[tex]y=a(x-h)^2+k\\\\135=a(0-7)^2-12\\\\147=a(-7)^2\\\\147=49a\\\\3=a[/tex]
Use the new equation to find the x-intercepts
[tex]y=3(x-7)^2-12\\\\0=3(x-7)^2-12\\\\12=3(x-7)^2\\\\4=(x-7)^2[/tex]
[tex]2=x-7\\9=x[/tex]
[tex]-2=x-7\\5=x[/tex]
Therefore, the x-intercepts of the parabola are (9,0) and (5,0). Feel free to review the attached graph for more information.
