Update parent component property from child component in Angular 2

You need to use 2 way data-binding.

@Input() is one way data-binding. to enable 2 way data-binding you need to add an @Output() corresponding to the property, with a "Change" suffix

@Input() getSearchStatus: boolean;
@Output() getSearchStatusChange = new EventEmitter<boolean>();

when you want to publish the change made to your property to the parent, you need to notify the parent with:

this.getSearchStatusChange.emit(newValue)

and in the parent you need to use the banana-in-a-box notation for that property:

[(getSearchStatus)]="myBoundProperty"

you can also bind to the property and trigger a callback when it changes in child:

[getSearchStatus]="myBoundProperty" (getSearchStatusChange)="myCrazyCallback($event)"

see the plnkr

Another approach: use rxjs/BehaviorSubject to pass status between different components.
Here's the plunkr.
I name subject with a suffix 'Rxx', so the BehaviorSubject for searchStatus will be searchStatusRxx.

1. initialize it in parent component like searchStatusRxx = new BehaviorSubject(false);,
2. pass it to child component using @Input
3. in child template, you do async pipe.
4. in both parent and child, you do searchStatusRxx.next(value) to change the latest value.