Investigating Quadratic Functions In General Form

Lesson 3.2: Investigating Quadratic Functions in General Form

Specific Outcome: Analyze quadratic functions of the form y = ax

+ bx + c to identify

characteristics of the corresponding graph, including: the vertex, domain and range,

direction of opening, axis of symmetry, x- and y- intercepts and to solve problems.

(Achievement indicators ~ 4.1 – 4.8)

A quadratic function of the form f(x) = ax

+ bx + c is written in GENERAL FORM (your

textbook calls this standard form).

PART A:

Using your calculator, graph the quadratic function f(x) = -x

+ 4x + 5. Does the function

have a maximum or a minimum y-value?

PART B:

Using your calculator, graph the functions that result from substituting the following a-

values into the function, f(x) = ax

+ 4x + 5

a = -4

a = -2

a = 1

a = 2

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