Identify the vertex and axis of symmetry each. Then sketch the graph

For all quadratics:

y = a(x - h)² + I

a determines the nature/shape of the graph.

If a > 0, concave up

If a < 0, concave down.

Vertex: (h,k)

For h, equate the bracket (x - h) to 0.

Line of symmetry is always x = h

Where h is the x-coordinate of the vertex

15) vertex: (2,-4)

Concave down

line of symmetry: x = 2

16) vertex: (1,4)

Concave down

line of symmetry: x = 1

17) vertex: (-4,3)

Concave up

line of symmetry: x = -4

18) vertex: (-5,2)

Concave up

line of symmetry: x = -5

19) vertex: (-5,-3)

Concave down

line of symmetry: x = -5

20) vertex: (-2,-1)

Concave down

line of symmetry: x = -2