Conics

Conics Review

Graph It!

2 2

19 4

x y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

Graph It!

2 2

19 4

x y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

Graph It!

23( 1) 2y x

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

Graph It!

2 2( 2) ( 3) 25x y

1 2 3 4 5 6 7–1–2–3–4–5–6–7 x

1

2

3

4

5

6

7

–1

–2

–3

–4

–5

–6

–7

y

Write the Equation?

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

What is the Equation?

1 2 3 4 5 6–1–2–3–4–5–6 x

1

2

3

4

5

6

–1

–2

–3

–4

–5

–6

y

Put into form: 2 2 2( ) ( )x h y k r

2 26 8 24 0x x y y 2 210 4 35 0x x y y

Center? Radius?

Determine the Equation

• Determine the equation of a parabola with vertex (-2, 4) and going through the point (-1, 7).

• Determine the equation of a parabola with vertex (3, -1) and going through the point (5, -5).

Write the Equation

• Given a circle with – radius of 25 and – center of (-3,7)

• Given a circle with – radius of 7 and – center of (4, -9)

Graph It!

2 24( 2) 25( 2) 100x y

2 29( 1) 4( 3) 36x y

Put into form: 2 2 2( ) ( )x h y k r

2 28 10 40 0x x y y 2 24 12 9 0x x y y

Center? Radius?

Graph It!

2 2( 3) ( 2) 25x y

2 28( 1) 2( 4) 32x y

Determine the Equation

• Determine the equation of a parabola with vertex (2, 5) and going through the point (0, 7).

• Determine the equation of a parabola with vertex (-4, -3) and going through the point (-3, -2).