Relationship between Equations and Graphs

Q1)
x -6 -4 -2 0 2 4 6
f: Y = -4x-1 23 15 7 -1 -9 -17 -25
g: Y = -2x-1 11 7 3 -1 -5 -9 -13
h: Y = 2x-1 -13 -9 -5 -1 3 7 11
i: Y = 4x-1 -25 -17 -9 -1 7 15 23
a) Order is zero
When the equations are differentiated the highest power of the value of x will be 0, hence
having an order of 0.
b) i. When the value of m is negative the line curve is inversely proportional
ii. When the value of m is positive the line curve is directly proportional
Task 2

x -6 -4 -2 0 2 4 6
f: Y = 3x -2 -20 -14 -8 -2 4 10 16
g: Y = 3x + 2 -16 -10 -4 2 8 14 20
h: Y = 3x + 4 -14 -8 -2 4 10 16 22
a) An increase in the value of c increase the values of y
b) i. When the value of m = 0 and c = 3, the resultant value is a point of value 3
ii. When the value of m = 5 and c = 0, the value of y increases and form a directly
proportional line graph.
Task 3

x -6 -4 -2 0 2 4 6
c: Y = 2x2 72 32 8 0 8 32 72
d: Y = 5x2 180 80 20 0 20 80 180
a) The graphs have order of 1

When the equations are differentiated the highest power of the value of x will be 1, hence
having an order of 1.
b) Increase in the coefficient from 2 to 5 increased the value of y, and the curve will broaden
too.
Task 4
x -6 -4 -2 0 2 4 6
c: Y = -2x2 -72 -32 -8 0 -8 -32 -72
d: Y = -5x2 -180 -80 -20 0 -20 -80 -180