Curve that passes through three points

Processing Coding Questions
1

how to draw a curve according to three given points?

for example
curve (10,10, 20,50, 80,75)

this function would draw a curve that passes through those 3 coordinates

2

try curveVertex

 beginShape();
    curveVertex(x1,y1); // or define x0,y0
    curveVertex(x1,y1);
    curveVertex(x2,y2);
    curveVertex(x3,y3);
    curveVertex(x3,y3); // or define x4,y4
  endShape();

used like in

float r = 5.0;

void setup() {
  size(400, 400);
}

void draw() {
  background(200,100,0); 
  stroke(0,200,200); fill(0,200,200);
  float x0 =  50;  float y0 = 250; ellipse(x0,y0,r,r);
  float x1 =  50;  float y1 = 250; ellipse(x1,y1,r,r);
  float x2 = 150;  float y2 = 150; ellipse(x2,y2,r,r);
  float x3 = 250;  float y3 = 250; ellipse(x3,y3,r,r);
  float x4 = 250;  float y4 = 250; ellipse(x4,y4,r,r);
 
  my_3_point_curve(x1,y1,x2,y2,x3,y3);
}

void my_3_point_curve(float x1,float y1,float x2,float y2,float x3,float y3) {
  stroke(200,200,0); noFill(); 
  beginShape();
    curveVertex(x1,y1); //  curveVertex(x0,y0);
    curveVertex(x1,y1);
    curveVertex(x2,y2);
    curveVertex(x3,y3);
    curveVertex(x3,y3); //  curveVertex(x4,y4);
  endShape();
 
}

play with the P4 for understanding here