Graphing Vertex Form Of A Parabola printable pdf download

Graphing Vertex Form Of A Parabola

Sec 2 Hon – Notes 18.4, 18.5

Name:_____________________

per: ____

18.4 The Equation of a Parabola

A parabola is the set of all points (x, y) in a plane that are equidistant from a fixed line, the directrix, and

a fixed point, the focus, not on the line. A parabola is the one conic section where the x variable OR the y variable

is squared – not both.

Remember: the vertex is (h, k), and p is the distance from the vertex to the focus point or directrix line.

↑ +��, ↓ −��,

→ +��,

← −��

Graphing/Vertex form

Standard form

of a parabola.

�� = �� ( �� − ℎ )

+ �� (concave up or down)

( �� − ℎ )

= 4�� ( �� − �� ) , �� ≠ 0 (concave up or down)

Directrix line (horizontal): �� = �� − ��,

Vertex at (h, k), a gives the vertical stretch

Focus point: (ℎ, �� + ��)

�� = �� ( �� − �� )

+ ℎ (concave right or left)

( �� − �� )

= 4�� ( �� − ℎ ) , �� ≠ 0 (concave right or left)

Vertex at (h, k), a gives the horizontal stretch

Directrix line (vertical): �� = ℎ − ��,

Focus point: (ℎ + ��, ��)

1. Graphing/Vertex Form of a parabola.

b. Graph �� = 3 ( �� − 1 )

− 5

a. Graph �� = −

( �� + 3 )

+ 4

Give vertex and 4 other exact points.

Function?

Domain?

Range?

Domain?

Range?

Graphing Vertex Form Of A Parabola