PARABOLA

Persamaan parabola dengan puncak H(m,n)

F (m, n+p)

A (x, y)

B (x, n-p)

Parabola terbuka ke atas

Multiple Choice

$$d_1=\sqrt[]{\left(.........\right)^2\ +\left(y-\left(n+p\right)\right)^2}$$

• $$x-y$$

• $$x-m$$

• $$x-n$$

• $$x-p$$

• $$y-m$$

Multiple Choice

$$d_2=\sqrt[]{\left(x-x\right)^2+\left(......\right)^2}$$

• $$n+p-y$$

• $$n-p+y$$

• $$n-p-y$$

• $$x-n-p$$

• $$x-y$$

Multiple Choice

$$\left(x-m\right)^2+\left(y-n\right)^2-........+p^2=\left(y-n\right)^2+......+p^2$$

• $$2p$$

• $$2\left(y-n\right)$$

• $$2p\left(y-n\right)$$

• $$p\ \left(y-n\right)$$

• $$2p\ \left(y+n\right)$$

(x - m)² + (y - n)² - 2p (y - n) + p² = (y - n)² + 2p (y - n) + p²

(x - m)² + (y - n)² - 2p (y - n) + p² - (y - n)² - 2p (y - n) - p² = 0

(x - m)² + (y - n)² - 2p (y - n) + p² - (y - n)² - 2p (y - n) - p² = 0

Multiple Choice

$$\left(x-m\right)^2-......=0$$

• $$2p\ \left(y-n\right)$$

• $$p\ \left(y-n\right)$$

• $$0$$

• $$4p\ \left(y-n\right)$$

• $$4\ \left(y-n\right)$$

Multiple Choice

$$\left(x-m\right)^2=.....$$

• $$2p\ \left(y-n\right)$$

• $$-4p\ \left(y-n\right)$$

• $$0$$

• $$4p\ \left(y-n\right)$$

• $$4\ \left(y-n\right)$$

Puncak H(m,n)

Parabola terbuka ke atas

Titik Fokus (m, n + p)

Garis direktis y = n - p

Parabola terbuka ke bawah

Puncak H(m,n)

Titik Fokus (m, n - p)

Garis direktis y = n + p

Persamaan parabola dengan puncak H(m,n)

A (m-p, y)

B (x, y)

F (m+p, n)

Parabola terbuka ke kanan

Multiple Choice

$$d_1=\sqrt[]{\left(x-\left(m+p\right)\right)^2\ +\left(.......\right)^2}$$

• $$y-m$$

• $$y-n$$

• $$x-n$$

• $$y-y$$

• $$x-m$$

Multiple Choice

$$d_2=\sqrt[]{\left(x-\left(m-p\right)\right)^2\ +\left(.......\right)^2}$$

• $$y-m$$

• $$y-n$$

• $$x-n$$

• $$y-y$$

• $$x-m$$

Multiple Choice

$$\left(.......\right)^2-2p\left(x-m\right)+p^2+\left(y-n\right)^2=\left(........\right)^2+2p\left(x-m\right)+p^2$$

• $$x+m$$

• $$x-m$$

• $$x+n$$

• $$x-n$$

(x - m)² - 2p (x - m) + p² + (y - n)² = (x - m)² + 2p (x - m) + p²

(x - m)² - 2p (x - m) + p² + (y - n)² - (x - m)² - 2p (x - m) - p² = 0

(x - m)² - 2p (x - m) + p² + (y - n)² - (x - m)² - 2p (x - m) - p² = 0

Multiple Choice

$$\left(.......\right)^2-4p\ \left(x-m\right)=0$$

• $$y-n$$

• $$p\ \left(y-n\right)$$

• $$y-x$$

• $$p^2$$

• $$x-m$$

Multiple Choice

$$\left(y-n\right)^2=......$$

• $$y-n$$

• $$4p\ \left(y-n\right)$$

• $$x-m$$

• $$p\ \left(x-m\right)$$

• $$4p\ \left(x-m\right)$$

Puncak H(m,n)

Parabola terbuka ke kanan

Titik Fokus (m+p, n)

Garis direktis x = m - p

Parabola terbuka ke kiri

Puncak H(m,n)

Titik Fokus (m-p, n)

Garis direktis x = m + p

Jika sebuah parabola memiliki titik puncak (3,2) dan titik fokus (1,2), tentukan persamaan parabola tersebut!

Multiple Choice

Parabola tersebut terbuka ke ....

• Atas

• Bawah

• Kiri

• Kanan

Nilai m = 3 , n = 2

​Parabola terbuka ke kiri

Persamaan parabola dengan puncak H(m,n) dan terbuka ke kiri adalah:

​Titik puncak (3,2) = (m,n)

​Titik fokus (1,2) = (m-p,n)

m-p = 1
3-p = 1
p = 2