Study Hard

1
Study Hard

• Conics

2
Conics

• 1. If a plane intersects a double napped cone at
  an angle equal to the angle of the generator then
  the shape of the conic formed is
• a)circle
• b)ellipse
• c)parabola
• d)hyperbola

3
Conics

• If B 0 and the graph is a parabola then the
  product AC must be
• a) AC? 0
• b) AC 0
• c) AC?0
• d) AC 1

4
Conics

• If the vertex angle of a cone is 74? and a plane
  intersects this cone forming a 28? angle with
  the axis of the cone then the quadratic relation
  that is formed is
• a)circle
• b)ellipse
• c)parabola
• d)hyperbola

5
Conics

• For each of the following quadratic relations
  perform the indicated operation.

For 5x2 4y 30x 40 0 find
shape________________ x-intercepts_______________
y-intercepts_______________
6
Conics

• For x2 2y2 8x 20y 18 0
• find shape ________________
• x-intercepts_______________
• y-intercepts_______________
• centre____________________

7
Conics

• . For
• find shape ________________
• x-intercepts_______________
• y-intercepts_______________

8
Conics

• An arch is in the shape of a semi-ellipse which
  is 20 meters wide at the base and 6 meters high
  at the centre. What will the height be 5 meters
  away from the centre on either side?

9
Conics

• For the relation Ax2 7y2 Dx Ey F 0
• what restrictions of the constants will
  generate
• ellipse(including circle)_______________
• circle____________________
• parabola__________________
• hyperbola_________________

10
Conics

• Determine the domain and range of
• a) x2 y2 4x 8y 5 0

11
Conics

• Determine the domain and range of
• b)

12
Transitional Page

• Had enough yet?

13
Conics - Study Hard cont.

• Sketch accurate graphs of
• a) x 5 8(y 3)2 0

14
Conics - Study Hard cont.

• Sketch accurate graphs of
• b)

15
Conics - Study Hard cont.

• Express in standard form
• a) 2x2 y2 4x 12y 6 0

16
Conics - Study Hard cont.

• Express in standard form
• b) y2 6x 8y 28 0

17
Conics - Study Hard cont.

• Express in the general form
• a) (x 7)2 16(y 5)

18
Conics - Study Hard cont.

• Express in the general form
• b)

19
Conics - Study Hard cont.

• Write the equations of the graph shown

20
Conics - Study Hard cont.

• Write the equations of the graph shown

21
Conics - Study Hard cont.

• Write in the general form the equation of a
  circle with centre,(-8,3) if the circle is on the
  point (-4,0).

22
Conics - Study Hard cont.

• Which of the following is a degenerate hyperbola?
• a) 2 parallel lines
• b) 2 intersecting lines
• c) one line
• d) no graph

23
Conics - Study Hard cont.

• A parabolic dish opens upwards and is 20 cm wide
  and 5 cm deep. If water is filled into the dish
  and has a maximum depth of 3 cm at the centre
  what is the width of the water at the surface?
  (assume symmetry and answer accurate to two
  decimal places)

24
Conics - Study Hard cont.
25
Conics - Study Hard cont.

26
www.animationfactory.com
Backdrops - These are full sized backdrops, just
scale them up! - Can be Copy-Pasted out of
Templates for use anywhere!
Title Backdrop
Slide Backdrop
Print Backdrop
Transitional Backdrop

• Additional Graphics
• Scale them up or down!
• .GIF clipart is animated.
• .JPG clipart can be scaled up and take up little
  file space.
• .PNG clipart can be scaled unusually large
  without distortion.