Grade 11: Parabolas

Question 1

New equations ?

Answer 1

Y=a(x+p)*2

Y=a(x+p)*2 +q

Question 2

equation : y=a(x+p)*2 ?

Answer 2

a= concave or convex

p= shifts left(+) or right (-)

Axis of symmetry : x+p=0

Turning point : axis of symmetry eg : x=1
( 1;0)

Question 3

equation : y=a(x+p)*2 + q ?

Answer 3

q= shifts up or down

Coordinate of turning point is q

Question 4

Changing y=ax*2 +bx +c ?

Answer 4

Completing the square

Question 5

Completing the square ?

Answer 5

1) take out coefficient of x squared
2) Add and subtract (1/2 x coefficient of x)squared
3) factories the perfect square trinomial and multiply

Question 6

Turning point ?

Answer 6

x = -b/ 2a

q= y coordinate of TP ( p, -q)

NB! Can use to get axis of symmetry

Question 7

X coordinate of TP?

Answer 7

Sum of x intercepts / 2

Question 8

Determine the equation ? 1) y=ac*2+bx+c

Answer 8

1) y= ax*2 + bx+ c
Y= a(x-x1)(x-x2)

Use x cuts and any other points

Question 9

Determine the equation ? 2) y=a(x-p)*2 +q

Answer 9

(P;q) = turning point
Any other point

Sub into general equation