Vertex Form Sheet printable pdf download

Vertex Form Sheet

Name ____________________________________________________________________________________

4-7 Class Examples: Vertex Form & Newton’s Law

Adv. Alg. 2

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Transformations of Quadratic Graphs

Writing Quadratic Equations in Vertex Form

A quadratic function is easier to graph when it is in vertex form. You can write a quadratic function of the form

y =

in vertex from by completing the square.

(

)

Vertex Form of a Quadratic:

Transformations of Quadratic Graphs

Parabolas can be transformed by changing the values of the constants a, h, and k in the vertex form of a

quadratic equation: y = ( – ) + k.



The sign of a determines whether the graph opens upward (a > 0) or downward (a < 0).



The absolute value of a also causes a dilation (enlargement or reduction) of the parabola. The parabola becomes

narrower if | | >1 and wider if | | < 1.



The value of h translates the parabola horizontally. Positive values of h slide the graph to the right and negative

values slide the graph to the left.



The value of k translates the graph vertically. Positive values of k slide the graph upward and negative values slide

the graph downward.

1. Write

in vertex form.

Identify:

Vertex: ______________________

Axis of symmetry: _____________

Direction of opening: ___________

Graph the equation.

Vertex Form Sheet