Same fire. More air around it.
A turbojet pushes only the air that passes through its core. A turbofan wraps a big fan around the same core and sends extra air past it. Change the throttle and the bypass ratio, then watch where the air goes and how the push changes.
Turbojet
Every bit of air goes through the core.
Turbofan
A fan sends extra air around the same core.
Why bypass air matters
The core makes a fixed amount of energy from burning fuel. A turbojet spends all of it speeding up a small amount of air into a very fast jet. A turbofan spends it on a lot more air, giving each bit a gentler push. Thrust comes from how much air you push and how much you speed it up, so more air at lower speed can add up to more push for the same core.
The idea behind the bars
For a still engine, thrust equals air flow times jet speed. If the jet gets a fixed share of the core's energy, then ½ × air × speed² stays fixed, and thrust grows as the square root of the air. The bars use this simplified rule, so only their ordering and rough size mean anything.
What this leaves out
Real engines depend on flight speed, altitude, fan size, weight, drag and noise, and a bigger fan has real costs. No efficiency or fuel figures are claimed here. Bypass lets the same core push more air more gently; that is the trade the picture shows, not a performance prediction.