Quadratics Models Using Vertex Form Worksheet printable pdf download

Quadratics Models Using Vertex Form Worksheet

Kerr

MPM2D

Applying Quadratic Models

5.4 Quadratics Models Using Vertex Form

Recall, there are three ways to write the equation of a quadratic

relation:

1. factored form

y = a(x - r)(x - s)

2. standard form

y = ax

+ bx + c

3. vertex form

y = a(x - h)

+ k

Examples

We know where the vertex is

but we don't know about the

direction of the opening or the

The vertex of a quadratic relation is (-9, 2).

shape or the parabola.

Write the equation to describe all parabolas with this vertex.

____________________

A parabola with the given vertex passes through the point (5, 7).

Determine the value of a for this parabola.

Simply substitute the x and y-

value of the ordered pair into

the vertex form and solve for a.

Write the equation for this relation.

____________________

State the transformations that must be applied to y = x

obtain the quadratic relation you wrote for part c.

1. _______________________________________________

2. _______________________________________________

3. _______________________________________________

Quadratics Models Using Vertex Form Worksheet