3. Quadratic Functions

Question 1

General quadractic formula

Answer 1

x = -b ± √( b² – 4ac) / 2a

Question 2

General quadratic function

Answer 2

y = ax² + bx + c

Question 3

Coordinates of vertex

Answer 3

( -b/2a , c – b²/4a )

Question 4

Axis of symmetry equation

Answer 4

x = -b/2a

Question 5

Sum of zeros (roots)

Answer 5

-b/a

Question 6

Product of zeros (roots)

Answer 6

c/a

Question 7

Nature of zeros (roots)

Answer 7

If b² – 4ac

If b² – 4ac = 0, two equal real numbers

If b² – 4ac > 0, two unequal real numbers

Question 8

Completing the square

ax² + bx + c = 0 ⇒

Answer 8

⇒ a(x+d)² + e = 0

d = b/2a

e = c – b²/4a