Friday 19 Sept 08
MATHS Bi1 HL
Test 1
Name____________
Problem 1
Find two numbers such that the sum is s = 13 and the product is p = 22
Find two numbers such that the sum is s = √2 and the product is p = - 12
Problem 2
The diagram below shows part of the graph of f where f(x) = ax2+ bx + c.
The curve crosses the x-axis at 2 and 4 and its vertex is at (3, 2).
Find the values of the constants a, b and c
Problem 3
Let us consider two parabolae of equation
y
= x2 - 3x -
7
---
4
for P1
y
= -x2 + 3x -
17
----
4
for P2
1) Find wich parabola is P1, P2.
2) Find the coordinates of the two intersections between the parabolae.
3) Show they have same axe of symetry.
4) Without calculus, what can you said about the discriminant ( delta )
of each parabola P1, P2 ?
1
