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