Quadratics

Question 1

How to solve a quadratic equation by factorising

Answer 1

Write the equation in the form ax^2 + bx + c = 0

Factorise the left-hand side

Set each factor equal to zero and solve to find the value(s) of x

Question 2

What is the quadratic formula

Answer 2

Question 3

What is the set of possible inputs for a function called

Answer 3

Domain

Question 4

What is a set of possible outputs of a function called

Answer 4

Range

Question 5

What are the roots of a function

Answer 5

They are the values of x for which f(x) = 0

Question 6

How can you find the coordinates of a turning point of a quadratic graph

Answer 6

By completing the square

Question 7

What is the discriminant

Answer 7

B^2 - 4ac

Shows how many roots f(x) has

Question 8

How many roots is there if b^2 - 4ac > 0

Answer 8

The quadratic function has two distinct real roots

Question 9

How many roots is there if b^2 - 4ac = 0

Answer 9

The quadratic function had one repeated real root

Question 10

How many roots is there if b^2 - 4ac < 0

Answer 10

The quadratic function has no real roots