I think that’s graphing quadratic functions.
Equation for quadratic function is
y = a (x-h)^2 + k
To get:
X-intercepts: any point that touches the x-axis
Axis of symmetry: x = opposite of h
Vertex: (opposite of h,k)
Y-intercept: any point that touches the y-axis
Extra Point: i think you can get this by finding a point from your graph
Domain: (-infinity,infinity)
Range: [min,infinity) or (-infinity,max)
If the a is fraction, the graph is compress
If the concave is down, the value is negative. If the concave is up, the value is positive.
Concave up is absolute minimum. Concave down is absolute max.
Positive a means concave up. Negative a means concave down