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GRAPHING PARABOLAS To graph a parabola you need : a) the vertex

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Presentation on theme: "GRAPHING PARABOLAS To graph a parabola you need : a) the vertex"— Presentation transcript:

1 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

2 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

3 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

4 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

5 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.

6 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.

7 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

8 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

9 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

10 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

11 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…

12 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

13 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

14 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

15 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

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 - Now sketch a smooth curve through the points…

17 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

18 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…

19 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.

20 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

21 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

22 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

23 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

24 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

25 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

26 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

27 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

28 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

29 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

30 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


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