Section 3.1 Review General Form: f(x) = ax 2 + bx + c How the numbers work: Using the General Form for Quadratic Functions create your own function. Rules: 1) The function you create must be in General Form. 2) The values for a, b, and c that you choose must be between -2 and 2 (they can be decimal numbers).

Section 3.1 Review Foldables

Quadratic Functions Review The Standard Form is f(x) = a(x – h) 2 + k

Quadratic Functions Review The Standard Form is f(x) = a(x – h) 2 + k The Vertex can be found as (h, k)

Quadratic Functions Review The Standard Form is f(x) = a(x – h) 2 + k The Vertex can be found as (h, k) The Axis of Symmetry goes through the vertex and cuts the parabola perfectly in half, and the value is h.

Quadratic Functions Review The Standard Form is f(x) = a(x – h) 2 + k The Vertex can be found as (h, k) The Axis of Symmetry goes through the vertex and cuts the parabola perfectly in half, and the value is h. The value of a can tell you which way the graph of the parabola will open. If a is positive the graph opens upwards, if it is negative it opens downwards.

Quadratic Functions Review The Standard Form is f(x) = a(x – h) 2 + k The Vertex can be found as (h, k) The Axis of Symmetry goes through the vertex and cuts the parabola perfectly in half, and the value is h. The value of a can tell you which way the graph of the parabola will open. If a is positive the graph opens upwards, if it is negative it opens downwards. Depending on the direction of the graph we have a maximum and minimum.

Quadratic Functions Review The Standard Form is f(x) = a(x – h) 2 + k The Vertex can be found as (h, k) The Axis of Symmetry goes through the vertex and cuts the parabola perfectly in half, and the value is h. The value of a can tell you which way the graph of the parabola will open. If a is positive the graph opens upwards, if it is negative it opens downwards. Depending on the direction of the graph we have a maximum and minimum. In order to graph we need the intercepts which we can find by setting y=0 to solve for x, and vise versa.

Quadratic Functions Review The General Form is f(x) = ax 2 + bx + c

Quadratic Functions Review The General Form is f(x) = ax 2 + bx + c The vertex is found using (-b/2a, f(-b/2a))

Quadratic Functions Review The General Form is f(x) = ax 2 + bx + c The vertex is found using (-b/2a, f(-b/2a)) The axis of symmetry is equal to -b/2a.

Quadratic Functions Review The General Form is f(x) = ax 2 + bx + c The vertex is found using (-b/2a, f(-b/2a)) The axis of symmetry is equal to -b/2a. We can still use the value of a to determine the direction the graph will open.

Quadratic Functions Review The General Form is f(x) = ax 2 + bx + c The vertex is found using (-b/2a, f(-b/2a)) The axis of symmetry is equal to -b/2a. We can still use the value of a to determine the direction the graph will open. The maximum or minimum can still be found based on the vertex.

Quadratic Functions Review The General Form is f(x) = ax 2 + bx + c The vertex is found using (-b/2a, f(-b/2a)) The axis of symmetry is equal to -b/2a. We can still use the value of a to determine the direction the graph will open. The maximum or minimum can still be found based on the vertex. The y-intercept is found by setting all the x variables equal to zero and then solving. The x-intercepts are found by setting y equal to zero and solving.

Quadratic Functions Review Regardless of if you are using the Standard Form or the General Form, you need the Vertex, and the x- and y-intercepts in order to graph a function.