Graph an equation of a parabola

1
EXAMPLE 1
Graph an equation of a parabola
Graph x y2. Identify the focus, directrix,
and axis of symmetry.
SOLUTION
Write original equation.
Multiply each side by 8.
8x y2
2
EXAMPLE 1
Graph an equation of a parabola
3
EXAMPLE 1
Graph an equation of a parabola
4
EXAMPLE 2
Write an equation of a parabola
SOLUTION
x2 4py
Standard form, vertical axis of symmetry
x2 6y
Simplify.
5
for Examples 1, and 2
GUIDED PRACTICE
SOLUTION
6
for Examples 1 and 2
GUIDED PRACTICE
SOLUTION
7
for Examples 1 and 2
GUIDED PRACTICE
Graph the equation. Identify the focus,
directrix, and axis of symmetry of the parabola.
3. y x2
SOLUTION
8
for Examples 1 and 2
GUIDED PRACTICE
SOLUTION
9
for Examples 1 and 2
GUIDED PRACTICE
Write the standard form of the equation of the
parabola with vertex at (0, 0) and the given
directrix or focus.
5. Directrix y 2
x2 8y
SOLUTION
6. Directrix x 4
y2 16x
SOLUTION
7. Focus (2, 0)
y2 8x
SOLUTION
10
for Examples 1 and 2
GUIDED PRACTICE
Write the standard form of the equation of the
parabola with vertex at (0, 0) and the given
directrix or focus.
8. Focus (0, 3)
x2 12y
SOLUTION