To review: Given K – shifts the graph k units up or down
(positive – up, negative – down)
H – shifts the graph h units up or down
(positive – left, negative – right)
A – if negative, reflects the graph over the x axis

Slide 3:

Graph of a Quadratic: Vertex: (0, 0)
Axis of Symmetry: x = 0
Vertex is a minimum point

Slide 4:

The green graph is the graph of the function above while the purple graph
Is the standard quadratic.
Vertex: (-2, -3)
Axis of Symmetry: x= -2
Vertex is a minimum

Slide 5:

The red graph is the graph of the function above
Vertex: (2, 4)
Axis of symmetry: x = 2
Vertex is a maximium

Slide 6:

As you can see from the previous graphs, you can find the vertex,
axis of symmetry, and the maximum or minimum just by using the
equation. Vertex: (h, k) (the opposite of “h” and “k”) Axis of symmetry: x = h (use the x coordinate of the vertex) If a is positive, the vertex is a minimum
If a is negative, the vertex is a maximum

Slide 7:

Find the vertex, the axis of symmetry, and determine the maximum
or minimum. Vertex: (-5, -3)
Axis of symmetry: x = -5
Vertex is a maximum Vertex: (4, -1)
Axis of Symmetry: x = 4
Vertex is a minimum

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