9.2 Graph and Write Equations of ParabolasContent Objectives: Students will be able to graph and write equations of parabolas that open to the left and the right.

Language Objectives: Students will translate equations into graphs and graphs into equations after taking notes and pair share.

Key VocabularyFocus – the point that lies on the axis of

symmetry, equidistant from the vertexDirectrix – a line that is perpendicular to the

axis of symmetry, equidistant from the vertexParabola – u-shaped graph from a quadraticVertex – the peak of the parabola

The standard form of the equation of a parabola with vertex at (0,0) is as follows:

Equation Focus Directrix Axis of Symmetry

Vertical (x = 0)Horizontal (y = 0)

Graph . Identify the focus, directrix, and axis of symmetry.

Graph . Identify the focus, directrix, and axis of symmetry.

Write an equation for the parabola below.

Graph . Identify the focus, directrix, and axis of symmetry.

Graph . Identify the focus, directrix, and axis of symmetry.

Graph . Identify the focus, directrix, and axis of symmetry.

Write the standard form of the equation of the parabola with vertex at (0,0) and the directrix: y = 2

Write the standard form of the equation of the parabola with vertex at (0,0) and the directrix: x = 4

Write the standard form of the equation of the parabola with vertex at (0,0) and the focus: (-2,0)

Write the standard form of the equation of the parabola with vertex at (0,0) and the focus: (0,3)