Pre-Calc Parabolas and Higher Level

(y - 1)² = (x + 3)

^{What is the vertex of the parabola? What direction does it open?}

• (-3,1)

  Parabola Opens Up

• (1, -3)

  Parabola Opens Down

• (-3,1)

  Parabola Opens Right

• (1, -3)

  Parabola Opens Left

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

What number would go in the blank?

• -2

• 8

• -8

• -16

Tags

CCSS.HSG.GPE.A.2

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)
• (y+4)² = -12x
• x² = 16(y+4)
• (x+4)²  = -20y

Find the standard form of the equation of the parabola whose focus (0, -2) and a directrix y=4.

• x² = -12(y - 1)

• (y-1)² = -12x

• x² = 12(y-1)

• x² = -3(y-1)

Tags

CCSS.HSG.GPE.A.2

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4
• x = 2
• y = -4
• y = -6

What is the equation for the circle with center (-1,-4) and tangent to the line y = 1. 

• (x+1)² + (y+4)² = 25
• (x+1)² + (y-4)² = 4
• (x-1)² + (y-4)² = 25
• (x+1)² + (y+4)² = 5

Tags

CCSS.HSG.GPE.A.1

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

• (x−6)²+(y−3)²=13
• (x−3)²+(y−6)²=13²
• (x−5)²+(y−9)²=13
• (x−9)²+(y−5)²=169/4

Tags

CCSS.HSG.GPE.A.1