Modeling with Quadratic Equations Answers

graph of f(x)

by units.

graph of f(x)

by units.

graph of f(x)

As |a| increases, the parabola becomes

The graph of is the widest.

If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is always

Choose the equation that shows a step in the process of completing the square on the given quadratic.y = x2 + 8x – 3

y = 3(x2 + 4x +4) + 7 -

by units.

As |a| decreases, the parabola becomes

The graph of is the narrowest.

Vertex: (, )

The vertex form of the function is y = (x + )2 + .

When the above expression is written in vertex form, a is , h is , and k is .

graph of f(x)

The graph of function 2 is the graph of function 3.

Vertex: (, )