I dont know. how to do these. The teacher doesn't necessarily teach us how to do it.

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