Parabola Quest

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Sobre esta actividad

Explore parabolas and their properties

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cristina isabel lopez osorio

Colombia

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Froggy Jumps Parabola QuestVersión en línea Explore parabolas and their properties por cristina isabel lopez osorio 1 What is the standard form of a vertical parabola opening up or down? a y = a(x-h)^2 + k b y = (x-h)^2 + k with a as a factor 1 c x = a(y-k)^2 + h 2 In y = a(x-h)^2 + k, what point is (h,k)? a Focus b Directrix c Vertex 3 For a parabola y = a(x-h)^2 + k, what does the parameter p relate to? a Slope of the axis b Distance from vertex to directrix c Distance from vertex to focus 4 Which line is the axis of symmetry for y = a(x-h)^2 + k? a x = h b x = k c y = k 5 In the standard parabola x^2 = 4py, if p > 0 the parabola opens which direction? a Upward b Left c Right 6 For the parabola x^2 = 4py, what is the focus coordinates? a (0,p) b (0,-p) c (p,0) 7 What is the directrix of the parabola y = a(x-h)^2 + k? a y = k - 1/(4a) b y = k + 1/(4a) c x = h 8 Which condition indicates a parabola opens upward or downward? a a controls direction in y = a(x-h)^2 + k b p controls width only c Directrix controls opening direction 9 If given y = 3(x-2)^2 + 5, what is the y-coordinate of the vertex? a 2 b -3 c 5 10 What is the effect of increasing \|a\| in y = a(x-h)^2 + k on a parabola's width? a Parabola becomes narrower b Parabola becomes wider c Vertex moves

Froggy Jumps

Parabola QuestVersión en línea

Explore parabolas and their properties

por cristina isabel lopez osorio

What is the standard form of a vertical parabola opening up or down?

y = a(x-h)^2 + k

y = (x-h)^2 + k with a as a factor 1

x = a(y-k)^2 + h

In y = a(x-h)^2 + k, what point is (h,k)?

Focus

Directrix

Vertex

For a parabola y = a(x-h)^2 + k, what does the parameter p relate to?

Slope of the axis

Distance from vertex to directrix

Distance from vertex to focus

Which line is the axis of symmetry for y = a(x-h)^2 + k?

x = h

x = k

y = k

In the standard parabola x^2 = 4py, if p > 0 the parabola opens which direction?

Upward

Left

Right

For the parabola x^2 = 4py, what is the focus coordinates?

(0,p)

(0,-p)

(p,0)

What is the directrix of the parabola y = a(x-h)^2 + k?

y = k - 1/(4a)

y = k + 1/(4a)

x = h

Which condition indicates a parabola opens upward or downward?

a controls direction in y = a(x-h)^2 + k

p controls width only

Directrix controls opening direction

If given y = 3(x-2)^2 + 5, what is the y-coordinate of the vertex?

-3

What is the effect of increasing |a| in y = a(x-h)^2 + k on a parabola's width?

Parabola becomes narrower

Parabola becomes wider

Vertex moves

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Parabola Quest

Froggy Jumps

Sobre esta actividad

Creada por

Descarga la versión para jugar en papel

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Parabola QuestVersión en línea

por cristina isabel lopez osorio

What is the standard form of a vertical parabola opening up or down?

In y = a(x-h)^2 + k, what point is (h,k)?

For a parabola y = a(x-h)^2 + k, what does the parameter p relate to?

Which line is the axis of symmetry for y = a(x-h)^2 + k?

In the standard parabola x^2 = 4py, if p > 0 the parabola opens which direction?

For the parabola x^2 = 4py, what is the focus coordinates?

What is the directrix of the parabola y = a(x-h)^2 + k?

Which condition indicates a parabola opens upward or downward?

If given y = 3(x-2)^2 + 5, what is the y-coordinate of the vertex?

What is the effect of increasing |a| in y = a(x-h)^2 + k on a parabola's width?

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