Parabola Quest

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About this activity

Explore parabolas and their properties

Created by

cristina isabel lopez osorio

Colombia

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Froggy Jumps Parabola QuestOnline version Explore parabolas and their properties by 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 QuestOnline version

Explore parabolas and their properties

by 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

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Parabola Quest

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Parabola QuestOnline version

by 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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