9.1: GRAPHING QUADRATICS ALGEBRA 1. OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form.

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Presentation transcript:

9.1: GRAPHING QUADRATICS ALGEBRA 1

OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form What does the graph of a quadratic look like?

WHAT CAN I FIND FROM MY GRAPH?

HOW DO I GRAPH IN STANDARD FORM? xa.o.s. y

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

HOW DO I GRAPH IN VERTEX FORM? x y

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

HOW DO I GRAPH IN INTERCEPT FORM?

HOMEWORK 9.1 Packet Page DUE MONDAY, FEBRUARY 23 rd !

9.2 SOLVING QUADRATIC EQUATIONS BY GRAPHING Quadratic Equation Solve by Graphing The solutions of a quadratic equation are called the roots of the equation. The roots of a quadratic equation can be found by graphing the related quadratic function f(x) = a x2 + bx + c and finding the x-intercepts or zeros of the function.

HOW TO SOLVE BY GRAPHING

EXAMPLE 1: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

EXAMPLE 2: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

PRACTICE 1: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

ON YOUR OWN: SOLVE BY GRAPHING XY What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce? What are the solutions?

9.3 TRANSFORMATION OF QUADRATIC FUNCTIONS Translations: A translation is a change in the position of a figure either up, down, left, right, or diagonal. Adding or subtracting constants in the equations of functions translates the graphs of the functions.

TRANSFORMATIONS