#import "@preview/cetz:0.4.2"
#import "@preview/cetz-plot:0.1.3": plot

#cetz.canvas(length: 1.25cm,{
    import cetz.draw: *
        set-style(
    axes: (
      // Basisstil beibehalten
      stroke: (thickness: 0.5pt),
      // x-Achse: stealth-Pfeil am Ende
      x: (mark: (end: "stealth", fill: black)),
      // y-Achse: stealth-Pfeil am Ende
      y: (mark: (end: "stealth", fill: black)),
    ),
  )
  plot.plot(
    //definitionen
    name: "plot",
    size: (6, 6),
    ymin: -2,
    ymax: 6,
    x-tick-step: none,
    y-tick-step: none,
    axis-style: "school-book",
    x-label: $x$,
    y-label: $y$,
    x-ticks: ((0.5, $1/2$),(1.25, $x$),),
    y-ticks: ((0, $0$),),
    {
    //berechnungen und plot
    
    
    plot.add(x => (calc.pow(x, 2) -2), domain: (-1.4, 1.8))    
    plot.add(x => (calc.pow(x, 2) +2), domain: (-1.4, 1.8))    
    }
  )
})

#let linspace(start, end, n)=range(0,n).map(x => x / n * (end - start) + start)

#cetz.canvas({
    import cetz.draw: *
    line((-5,0), (5,0), mark: (end: "stealth", fill: black))
    content((), block(inset: 0.2em)[$x$], anchor: "west")
    line((0,-5), (0,5), mark: (end: "stealth", fill: black))
    content((), block(inset: 0.2em)[$p^0$], anchor: "east")
    let pe = linspace(-2, 2, 200).map(x => (calc.pow(x,2) +2, x))
    line(..pe, stroke: olive)
    // let draw-point(pos, text, color, anchor) = {
    //     circle(pos, radius: 0.1, fill: color, stroke: none)
    //     content((), block(inset: 0.3em)[#text], anchor: anchor)
    //}
    // draw-point((0, 3),  "(a)", red, "east")
    // draw-point((0, -3), "(b)", blue, "east")
    // draw-point((1, 1),  "(c)", red, "south-east")
    // draw-point((1, -1), "(d)", blue, "north-east")
    // draw-point((3, 0),  "(e)", olive, "north-east")
    // draw-point((0, 0),  "(f)", olive, "east")
})

#let linspace(start, end, n)=range(0,n).map(x => x / n * (end - start) + start)

#cetz.canvas({
    import cetz.draw: *
    line((0,0), (5,0), mark: (end: "stealth", fill: black))
    content((), block(inset: 0.2em)[$abs(bold(p))$], anchor: "west")
    line((0,-5), (0,5), mark: (end: "stealth", fill: black))
    content((), block(inset: 0.2em)[$p^0$], anchor: "east")
    let pa = linspace(0, 4, 100).map(x => (x, calc.sqrt(9+x*x)))
    line(..pa, stroke: red)
    let pb = linspace(0, 4, 100).map(x => (x, -calc.sqrt(9+x*x)))
    line(..pb, stroke: blue)
    line((0,0), (5,5), stroke: red)
    line((0,0), (5,-5), stroke: blue)
    let pe = linspace(-4, 4, 100).map(x => (calc.sqrt(9+x*x), x))
    line(..pe, stroke: olive)
    let draw-point(pos, text, color, anchor) = {
        circle(pos, radius: 0.1, fill: color, stroke: none)
        content((), block(inset: 0.3em)[#text], anchor: anchor)
    }
    draw-point((0, 3),  "(a)", red, "east")
    draw-point((0, -3), "(b)", blue, "east")
    draw-point((1, 1),  "(c)", red, "south-east")
    draw-point((1, -1), "(d)", blue, "north-east")
    draw-point((3, 0),  "(e)", olive, "north-east")
    draw-point((0, 0),  "(f)", olive, "east")
})

 #import "@preview/cetz:0.3.2"
#import "@preview/cetz-plot:0.1.1"
#cetz.canvas(
{
import cetz.draw: *
import cetz-plot: *
  

plot.plot(
    //size: (5,5),
    xmin: -2cm,
    xmax: 2cm,
    ymin: -2cm,
    ymax: 4cm,
    x-tick-step: none,
    y-tick-step: none,
    axis-style: "school-book",  
    x-label: $x$,
    y-label: $y$,
    //x-ticks: ((0.5, $1/2$),(1.25, $x$),),
    y-ticks: ((2, $2$),(1, $1$)),
    plot.add(
        domain: (-5,5),
        x => calc.pow(x, 2)+2
    )
)
}
)

#import "@preview/cetz:0.4.1"
#import "@preview/cetz-plot:0.1.2"

#cetz.canvas({
    import cetz.draw: *
    import cetz-plot: *
    
    let f = x => (calc.pow(x,2)+2)
    plot.plot(size: (6,9), axis-style: "school-book", x-tick-step:none, y-tick-step:none, x-label: $x$,
    y-label: $y$,
    x-ticks: ((0.5, $1/2$),(1.25, $x$),),
    y-ticks: ((2, $2$),), {
        plot.add(domain: (-1.5, 1.5), f)
        
        // Hilfslinie damit Koordinatensystem nicht verrutscht
        plot.add(((0, 0), (0, 0.1)), style: (stroke: none))
    })
})