Quadratics In Vertex Form Worksheet printable pdf download

Quadratics In Vertex Form Worksheet

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Student Exploration: Quadratics in Vertex Form

Vocabulary: axis of symmetry, parabola, quadratic function, vertex form of a quadratic function,

vertex of a parabola, x-intercept, y-intercept

Prior Knowledge Questions (Do these BEFORE using the Gizmo.)

The graph of the function y = |x| is shown to the right.

1. What can you do to y = |x| to move the graph up 1 unit?

2. What can you do to y = |x| to move the graph 2 units left?

3. What can you do to y = |x| to make the graph open down?

Gizmo Warm-up

A quadratic function is any function in which y depends on the

square of x. A quadratic function can be written in polynomial form,

+ bx + c, or in vertex form, y = a(x – h)

y = ax

+ k. You will explore

the vertex form in the Quadratics in Vertex Form Gizmo™.

1. To begin, graph y = x

by setting a to 1.0, h to 0.0, and k to 0.0. (Change the values by

dragging the sliders, or by clicking in the text field, typing in a value, and hitting Enter.)

Notice that this graph is the parabola shown above.

A. Drag the k slider back and forth. How does this affect the graph?

B. Set k back to 0.0. Drag the h slider back and forth. How does this affect the graph?

2. Set h back to 0.0. Drag the a slider back and forth.

A. What happens as a increases?

B. What happens when a is less than zero?

Quadratics In Vertex Form Worksheet