GRAPHING A QUADRATIC FUNCTION IN STANDARD FORM THAT CANNOT BE FACTORED

GRAPHING A QUADRATIC FUNCTION IN STANDARD FORM THAT CANNOT BE FACTORED

LEARNING GOALS • Find x-intercepts of a quadratic relation using the quadratic formula • Use the x-intercepts to find the vertex • then use them to sketch the graph

GRAPHING A QUADRATIC RELATION THAT CANNOT BE FACTORED STEPS 1) Write the equation in standard form if it is not already in it. 2) Find the x-intercepts using the quadratic formula. 3) Find the vertex x using 4) Find the vertex y by substituting in the vertex x into the original equation.

Example: SOLUTION:

...Example continued Vertex x = Vertex y =

GRAPH:

Summary of 3 forms of Quadratic Functions 1) Vertex Form 2) Factored Form 3) Standard Form

Example 2: Fill in the chart.

Example 2: Fill in the chart (find x-intercepts using factoring or Q .F.)

GRAPHING A QUADRATIC FUNCTION IN STANDARD FORM THAT CANNOT BE FACTORED

GRAPHING A QUADRATIC FUNCTION IN STANDARD FORM THAT CANNOT BE FACTORED

Presentation Transcript

Graphing Quadratic Functions Converting General Form To Standard Form

A Kingdom that Cannot be Shaken

Quadratic Functions: Standard Form

Graphing a Quadratic

3.2 Graphing Quadratic Functions in Vertex Form

Graphing quadratics in standard form

Graphing Quadratic Equations in Standard Form

Graphing Quadratic Functions vertex Form

A quadratic equation is written in the Standard Form ,

Factored Form

Graphing Quadratic Functions – Standard Form

Graphing Quadratic Functions in Standard From

Properties of Quadratic Functions in Standard Form

Quadratic Function A function that can be written in standard form;

7.5 Graphing Parabolas (Standard Form)

Graphing Quadratic Functions – General Form

Graphing Quadratic Functions using Transformational Form

Standard form of Quadratic Function: y = ax 2 + bx + c

Graphing Quadratic Functions in Standard Form

Graphing Quadratic Functions in Standard From

4.1 – Graph Quadratic Functions in Standard Form