CONIC SECTIONS: PARABOLAS

Mr. Velazquez

Honors Precalculus

RECALL: GRAPHING QUADRATICS

DEFINITION OF A PARABOLA

DEFINITION OF A PARABOLA

2

Find the vertex and the axis of symmetry of the parabola given

by y 2( 3) 4. Does it open up or down?x

PARABOLAS IN STANDARD FORM

PARABOLAS IN STANDARD FORM

2

Find the focus and the directrix of the parabola given

by y 24 .x

PARABOLAS IN STANDARD FORM

PARABOLAS IN STANDARD FORM

PARABOLAS IN STANDARD FORM

2

Find the focus and the directrix of the parabola

given by x 4 .y

PARABOLAS IN STANDARD FORM

2

Find the focus and the directrix of the parabola

given by y 12 .x

TRANSLATIONS OF PARABOLAS

TRANSLATIONS OF PARABOLAS

TRANSLATIONS OF PARABOLAS

TRANSLATIONS OF PARABOLAS

x

y

Find the standard form of the equation of a parabola

with focus (0,3) and directrix of y=-1

TRANSLATIONS OF PARABOLAS

x

y

2

Find the vertex, focus and directrix of the parabola

given by (x-3) 8( 1).y

TRANSLATIONS OF PARABOLAS

2

Find the vertex, axis, focus, and directrix of the parabola

by completing the square on the equation

8y=2x 12 14.x

CLASSWORK: PARABOLAS

Graph the following pair of parabolas on the same set of coordinate axes; label each graph with its corresponding standard form equation, the focus, latus rectum, and directrix for both parabolas.