GRAPHING PARABOLAS To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry

GRAPHING PARABOLAS To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry  

GRAPHING PARABOLAS Find the vertex To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry      

GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph  

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry.

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex.

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept  

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept    

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept       ** plot it on your graph

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept       ** plot it on your graph - To find the y – intercept’s twin, plot a point that is THE SAME distance from the axis of symmetry…

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept       Find the x - intercepts

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept       Find the x - intercepts - you can factor or use quadratic equation

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept       Find the x - intercepts - you can factor or use quadratic equation  

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Find the vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry     ** plot it on your graph   This will help you create the axis of symmetry. The axis of symmetry is a dashed vertical line through the x – coordinate of the vertex. Find the y - intercept       Find the x - intercepts - you can factor or use quadratic equation    

GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts     - Now sketch a smooth curve through the points…

GRAPHING PARABOLAS To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry  

GRAPHING PARABOLAS Vertex To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry - This example is in standard form so we can locate ( h , k ) for our vertex…  

GRAPHING PARABOLAS Vertex To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry - This example is in standard form so we can locate ( h , k ) for our vertex… - Recall it is the opposite of what you see inside parens, and exactly what you see outside.      

GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry - Recall it is the opposite of what you see inside parens, and exactly what you see outside. ** plot vertex and create axis of symmetry…       16 12 8 4 4 8 12 16

GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept       16 12 8 4 4 8 12 16

GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept       - Plot the twin… 16 12 8 4 4 8 12 16

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x … 16 12 8 4 4 8 12 16

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x …   16   12 8 4 4 8 12 16

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x …   16   12 8   4 4 8 12 16

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x …   16   12 8   4 4 8 12 16

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x …   16   12 8   4   4 8 12 16

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x …   16   12 8   4   4 8 12 16  

To graph a parabola you need : a) the vertex GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts   - Set equation equal to zero and solve for x …   16   12 8   4   4 8 12 16    

GRAPHING PARABOLAS Vertex   To graph a parabola you need : a) the vertex b) the y – intercept ( and its twin ) c) the x – intercepts ( if they exist ) d) the axis of symmetry y - intercept   x - intercepts     16 - Now sketch a smooth curve through the points… 12 8 4 4 8 12 16