MCF3M Culminating

Quadratic Functions

100

Find the x-intercepts:

y=x²-9

x=3

x=-3

200

Find the vertex of the quadratic:

y=x²+4x+1

Vertex:(-2,-3)

300

Solve using factoring:

y=2x²-5x-3

x=3 

x=-1/2

400

Solve using the quadratic formula 

y=x²-4x+1

x=2+- √3

500

A ball is thrown upward. Its height (in metres) is given by:

h(t)=-5t²+20t+1

a) when does the ball reach its maximum height ?

b) What is the maximum height ?

Time of max height: t=2 seconds 

Maximum height: 21 metres

Quadratic Expressions

100

Expand and Simplify

(x+4) (x+1)

x²+5x+4

200

Factor completely:

x²+6x+8

(x+2)(x+4)

300

Factor:

2x²+7x+3

(2x+1)(x+3)

400

x²-10x+9

(x-5)²-16

500

Solve:

x²+5x+6=0

x=-2 or x=-3

Working with Quadratic Functions

100

f(x)=x²-4x+3

Find: f(2)

f(2)=1