possible solution for 2 input graph

app.py

import dash
import dash_core_components as dcc
import dash_html_components as html
from dash.dependencies import Input, Output

DATA = [
    {"value": "MTL", "label": "Montreal", "x": [1, 2, 3], "y": [4, 1, 2]},
    {"value": "NYC", "label": "New York", "x": [1, 2, 3], "y": [2, 4, 5]},
    {"value": "SF", "label": "San Fransisco", "x": [1, 2, 3], "y": [1, 8, 3]},
    {"value": "HOU", "label": "Houston", "x": [1, 2, 3], "y": [3, 4, 12]},
]

app = dash.Dash(__name__)
server = app.server

app.layout = html.Div(
    [
        dcc.Input(id="my-input", value="initial value", type="text"),
        dcc.Checklist(id="checklist",
                      options=DATA,
                      values=[DATA[0]["value"]]),
        dcc.Graph(id="example-graph"),
    ], id="base"
)


@app.callback(
    Output(component_id="example-graph", component_property="figure"),
    [
        Input(component_id="my-input", component_property="value"),
        Input(component_id="checklist", component_property="values"),
    ],
)
def update_output_div(input_value, checked):
    data = [make_bar(d) for d in DATA if d["value"] in checked]

    return {"data": data, "layout": {"title": input_value}}


def make_bar(data_entry):
    return {
        "type": "bar",
        "name": data_entry["label"],
        "x": data_entry["x"],
        "y": data_entry["y"],
    }


if __name__ == "__main__":
    app.run_server(debug=True)