Chapter 3 Quadratic Functions

Question 1

What does a negative discriminant indicate about the roots of a quadratic equation?

Answer 1

The equation has no real roots.

Question 2

What does a zero discriminant indicate about the roots of a quadratic equation?

Answer 2

The equation has a repeated real root.

Question 3

What does a positive discriminant indicate about the roots of a quadratic equation?

Answer 3

The equation has two real roots.

Question 4

What is the formula for the discriminant in a quadratic equation?

Answer 4

The discriminant is given by b² - 4ac.

Question 5

What is the quadratic formula?

Answer 5

Question 6

How can the vertex and line of symmetry of a quadratic graph be found?

Answer 6

By completing the square.

Question 7

How can you sketch a quadratic graph?

Answer 7

By finding the points where the curve crosses the coordinate axes.

Also finding the turning point using completed square form or differentiation

Question 8

What are all the methods to solve quadratic equations?

Answer 8

Factorising
Quadratic formula
Completing the square