Curves do what Lightroom's sliders do underneath
Levels, contrast, brightness and most of the panel are curves with the handles taken off. Learn the curve and the rest becomes shorthand you can choose to use.

What a tone curve actually is
A curve is a graph. The horizontal axis is the tonal value coming in — shadows on the left, highlights on the right — and the vertical axis is the tonal value going out. Before you touch it, the line runs diagonally from bottom-left to top-right: input equals output, nothing changes. Every slider in every raw converter is a shortcut for bending that line in a specific, pre-decided way.
Brightness moves the midpoint of the line upward or downward. Contrast steepens the slope in the middle, compressing the shadows and highlights as it does. Highlights and shadows, in Lightroom Classic and almost everywhere else, pull the far ends of the curve while pinning the middle. Whites and blacks clamp the endpoints. All of them are partial, constrained, one-dimensional operations on a line you are allowed to reshape freely if you drop down to the curve panel itself. The handles are not hiding something — they are just a faster grip on a small subset of what the curve can do.
This is not a theoretical observation. Ansel Adams's zone system ↗ was an attempt to give photographers deliberate control over the relationship between scene luminance and print density: what you expose for and what you develop for determines how tones map to silver. A digital tone curve is the same proposition with a mouse. Adams printed in a darkroom and burned and dodged individual zones by hand because he had no curve panel; the concept is older than the software by several decades.
The four moves that cover most edits
Set the endpoints first
Drag the bottom-left anchor point to where the histogram's shadow data actually begins. Drag the top-right anchor to where the highlight data ends. This is what Levels does automatically when you click Auto, and it is also what the white and black sliders in Lightroom's Basic panel do. On a flat raw file that has come out of the camera with pushed midtones and protected highlights, this single move restores contrast without touching anything else. You can do it by eye, or you can hold Alt/Option while dragging the endpoint sliders in Lightroom and watch the clipping preview; the underlying mathematics is the same either way.

Steepen the middle for contrast
After the endpoints are set, add a control point near the upper quarter of the line and pull it slightly up; add one near the lower quarter and pull it slightly down. This is an S-curve, and it is why that name appears constantly in photography writing. The steeper you make the slope in the tonal region where most of your subject sits, the more local contrast you recover in that zone, at the cost of compressing whatever sits above and below it. The contrast slider applies a fixed S, centred on the midtone; the curve lets you place the inflection wherever the content of your image actually needs it.
Pull the shadow toe
Lifting the bottom-left endpoint — the very bottom of the curve, rather than the shadow anchor — raises the black floor. Tones that were zero become eight or twelve. The result is a faded, lifted shadow that reads as soft or filmic. Film negative characteristic curves ↗ have exactly this shape at the toe: very dense blacks are hard to achieve, so shadow detail lifts naturally. Lowering that same point crushes blacks. Both moves are available on the Blacks slider, but only in one direction at a time and only at the extreme. On the curve, you choose the exact placement and slope.
Work in individual channels
Every raw converter with a serious curve panel — Lightroom Classic, Capture One, darktable, Photoshop, Affinity Photo 2 — lets you apply the curve per channel: Red, Green, Blue, or Luminosity separately. Pulling the red curve down in the shadows pushes them toward cyan; lifting it in the highlights pushes toward warm orange. This is colour grading via curve rather than via the dedicated HSL or split-toning panels. Those panels are, again, shortcuts: the split-toning control in every application is a constrained version of lifting one colour channel's shadow toe and a different channel's highlight shoulder. The curve does it with more precision and no additional steps.

Why the panel sliders still have a use
A slider is faster for repeatable work. When a processing preset needs to lift the shadows by a fixed amount across two hundred frames, putting that on a Shadows slider means one number that travels cleanly. Committing the same move as a multi-point curve is possible, and Lightroom and Capture One both save curves inside presets, but a named slider value communicates more clearly to a collaborator or to your future self reading the edit six months later.
Sliders are also better-behaved at the extremes. The curve is powerful precisely because it is unconstrained, and an unconstrained tool applied by an unsteady mouse can create reversals — a place on the line where tones that were brighter in input become darker in output. Those inversions produce artefacts: banding, colour shifts, a muddy zone where the image simply stops making visual sense. The auto-smoothing that Lightroom Classic applies to its parametric curve (the one with the region sliders at the bottom rather than the point curve above it) exists to prevent exactly this. The point curve does not protect you. Pull carefully, and watch the curve line itself, and the image, to check that the line stays monotonically rising.

Brightness, contrast, highlights and shadows remain useful as rough passes, particularly on mobile edits or when the camera's own JPEG rendering is close and needs only a nudge. But knowing that they are partial curve moves means knowing when they stop doing what is needed. When a highlights pull flattens the upper tones without recovering the specular detail, that is the ceiling of what the slider allows; the same move made on the curve, placed two-thirds of the way up rather than at the shoulder, often gets further. The slider reached its stop. The curve does not have one.
Learning it in practice
Open a raw file with a clear tonal spread — a landscape with sky, shadow and midtone ground covers it well. Set the histogram to the curve panel's own display, so the graph reflects what is already in the file. Apply endpoint anchors. Add a mild S. Then move individual channel curves by increments smaller than you think necessary, and watch what happens in the image window, not the panel. The response is immediate and reversible; non-destructive editing means every move can be undone at any point without degrading the underlying data.
Do that on a dozen files and the slider panel starts to read as what it is: a labelled row of partial curve handles offered as a convenience, not as the full tool. Reach past it when the edit needs more.