Parabolas

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100

What is the vertex of the parabola given the equation (y - 4)² = 20 (x + 2)?

vertex: (h ,k) = (-2,4)

200

What is the axis of symmetry of the parabola given the equation (y - 4)² = 20 (x + 2)?

y = k = 4

300

What is the focus of the parabola given the equation (y + 5)² = 24 (x - 1)?

focus: (h+p,k) = (7,-5)

400

Write the standard form of an equation of  a parabola with the given focus F(2,-1) and vertex V.(-4,-1)

(y + 1)² = 24 (x + 4)

500

What is the axis of symmetry  the parabola given the equation 60x - 80  = 3y² + 100?

axis of symmetry: y = k = 0

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100

How do you know that a parabola opens to the right?

p > 0 and the term y is squared

200

What is the directrix of the parabola given the equation (y - 4)² = 20 (x + 2)?

directrix: x = h - p = -7

300

What is the vertex of the parabola given the equation (y + 5)² = 24 (x - 1)?

vertex: (h,k)=(1,-5)

400

What is the vertex of the parabola given the equation 60x - 80  = 3y² + 100?

vertex: (h,k)= (3,0)

500

Write the standard form of an equation of  a parabola with the given focus F(-5,-9), opens  right and  and contains (10,-1).

(y + 9)² = 4 (x + 6)

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100

What  value corresponds to  "h" in the  given  equation (y - 4)² = 20 (x + 2)?

 h = 5

200

What is the focus  of the parabola given the equation (y - 4)² = 20 (x + 2)?

focus: (h+p,k)= (3,4)

300

What is the axis of symmetry of the parabola given the equation (y + 5)² = 24 (x - 1)?

axis of symmerty: y = k = -5

400

What is the focus of the parabola given the equation 60x - 80  = 3y² + 100?

focus:(h+p,k) = (8,0)

500

What is the vertex   of an equation of  a parabola with the given focus F(-5,-9), opens  right and  and contains (10,-1)?

vertex:(h,k)= (-6,-9)

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100

What value corresponds to "k" in the equation (y - 4)² = 20 (x + 2)?

k = 4

200

What is the directrix of the parabola given the equation (y + 5)² = 24 (x - 1)?

directrix : x = h-p = -5

300

What value corresponds to "p" in  the equation (y + 5)² = 24 (x - 1)?

p = 6

400

What is the directrix of the parabola given the equation 60x - 80  = 3y² + 100?

directrix: x = h - p = -2

500

What value corresponds to  "p"   of an equation of  a parabola with the given focus F(-5,-9), opens  right and  and contains (10,-1)?

p =  1