M - Pure 1 - 2) Quadratics

Question 1

Formula for the quadratic formula

Answer 1

x = [-b ± √(b² - 4ac)]/2a

Question 2

Equation of completing the square

Answer 2

x² + bx = (x + b/2)² - (b/2)²

Question 3

Name for the set of possible inputs for a function

Answer 3

Domain

Question 4

Name for the set of possible outputs for a function

Answer 4

Range

Question 5

Method to find the coordinates of the turning point of a quadratic graph

Answer 5

1. Complete the square in the form a(x + p)² + q
2. Turning point is at (-p, q)

Question 6

Information that the discriminant of a quadratic shows

Answer 6

• If b² - 4ac > 0 → it has two distinct real roots
• If b² - 4ac = 0 → it has one repeated real root
• If b² - 4ac < 0 → it has no real roots