P1- Ch2- Quadratics

How do you solve a quadratic equation?

Write the equation in the form ax²+bx+c

Factorise the left hand side

Set each factor = to zero and solve

What is the other name for solutions to an equation

Roots

How to complete the square

(x+b/2)²-(b/2)²

Define domain

The set of possible inputs for a function

Define range

The set of possible outputs of a function

What are the roots of a function?

The values of x for which f(x)=0

How can you find the turning point of a quadratic?

Complete the square, change don’t change

How to find the y intercept of a quadratic?

Substitute x=0 into the equation

How to find the roots of a function?

When y=0 and the graph crosses the x axis

What can the discriminant of a quadratic equation tell us?

The number of roots that the equation has

How many roots does the equation have when b^2-4ac is greater than zero

There are two distinct real roots

How many roots does the equation have when b^2-4ac is less than zero

There are no real roots

How many roots does the equation have when b^2-4ac is equal to zero

There is one real/ repeated root

What is a mathematical model used for?

To provide a mathematical description of a real life situation

What is a useful modelling application for quadratic graphs?

They can be used to represent projectile motion.