**HP Prime Geometry App Tutorial Part 7: Conic Sections and Equations**

In today’s lesson we will work conic sections and showing
the equations for each of the conic sections.

**Drawing an Ellipse and Display its Equation**

Command:
ellipse(focus point 1, focus point 2, point on the ellipse)

Draw an ellipse with foci (1,4) and (5,4) and the point on
the ellipse on (5,6).

1. Press (Cmds), 5
for Curve, 5 for Ellipse.

2. Go to the point
(1,4) and press [ Enter ].

3. Go to the point
(5,4) and press [ Enter ].

4. Go to the point
(5,6) and press [ Enter ].

The next step is to display its equation.

5. Press (Cmds), 8
for Cartesian, 5 for Equation of.

6. Select the ellipse
and press [ Enter ]. In this example the
equation is named GD.

7. To see the whole equation,
press [ CAS ] and execute the equation(GD) command.

8. Press the up
button to highlight the equation and press (Show). Scroll to see the entire equation.

**Drawing a Hyperbola and Display its Equation**

Command: hyperbola(focus
point 1, focus point 2, point on the hyperbola)

Drawn a hyperbola with foci (-2, -2) and (-4, 2) with point
(-9, 2).

1. Press (Cmds), 5
for Curve, 6 for Hyperbola.

2. Go to the point
(-2,-2) and press [ Enter ].

3. Go to the point
(-4,-2) and press [ Enter ].

4. Go to the point
(-9,2) and press [ Enter ].

The next step is to display its equation.

5. Press (Cmds), 8
for Cartesian, 5 for Equation of.

6. Select the ellipse
and press [ Enter ]. In this example the
equation is named GD.

7. To see the whole equation,
press [ CAS ] and execute the equation(GD) command.

8. Press the up
button to highlight the equation and press (Show). Scroll to see the entire equation.

**Drawing a Parabola and Display its Equation**

Command: parabola(focus
point, directrix line)

Draw a parabola with focus point (0,-5) and (0,3) is on the
directrix line.

1. Press (Cmds), 5
for Curve, 7 for Parabola.

2. Go to the point
(0,-5) and press [ Enter ].

3. Go to the point
(0,3) and press [ Enter ].

The next step is to display its equation.

4. Press (Cmds), 8
for Cartesian, 5 for Equation of.

5. Select the ellipse
and press [ Enter ]. In this example the
equation is named GC.

6. To see the whole equation,
press [ CAS ] and execute the equation(GC) command.

7. Press the up
button to highlight the equation and press (Show). Scroll to see the entire equation.

On the next part, we will work with rotating geometric
objects. Thank you and see you next
time,

Eddie

This blog is property of Edward Shore – 2015.