Lesson Vertex Form printable pdf download

Lesson Vertex Form

Unit 2 – Quadratic Functions

2.2 – Quadratic Functions (Vertex Form)

LESSON: Vertex Form

LEARNING GOAL :

I can convert a quadratic function into vertex form

We said that there are also situations where we are interested in knowing the highest or

lowest point that a variable reaches in a quadratic relationship, we call this the ___________.

One method to find this point was shown yesterday using our factored form.

Example:

�� = ��

− 10�� − 24

Find the factors

Solve for x-intercepts

X-value of vertex must appear in between

Use our equation to find the corresponding

y- value

There will be times when this approach does not work, if a quadratic is not factorable. It could

potentially be too difficult, or factors actually do not exist; we did see examples of quadratic

functions that had 0 roots or x-intercepts, but they still had a meaningful vertex.

You should recognize the vertex form of a quadratic function:

If you look closely there is clearly a repeated factor as

shown by the (�� − ℎ)

portion. What types of expressions

factor this way?

Let’s try factoring the following quadratics:

a) 4��

− 16�� + 16

b) 9��

+ 12�� + 4

c) ��

+ 10�� + 25

b = __________

b = _____________

b = ____________

Lesson Vertex Form