Quadratics

Question 1

How to solve quadratic

Answer 1

Factorise and each bracket has to be zero once

Question 2

Quadratic formula

Answer 2

2a

Question 2

Complete the square on x^2 + bx

Answer 2

(x + b/2)^2 (-b/2^2)

Question 3

Complete the square on
ax^2 +bx + c

Answer 3

a(x + b/2a)^2 + (c - b^2/4a)

Question 4

What is the set of possible inputs for a function called

Answer 4

Domain

Question 5

What is the set of possible outputs for a function called

Answer 5

Range

Question 6

What are the roots of a function

Answer 6

Values for x where the range is 0

Question 7

What is the shape of a quadratic graph called

Answer 7

Parabola

Question 8

shape of x^2 and -x^2

Answer 8

x^2: u shape
-x^2: n shape

Question 9

y axis cross and x axis cross of quadratic graph

Answer 9

y axis cross is c
x axis cross is the roots

Question 10

f(x)= a(x-p)^2 +q what are the turning point

Answer 10

(p,-q) remember turning point is always midway between roots

Question 11

What is the discriminant used for

Answer 11

Check how many real roots something has

Question 12

Discriminant

Answer 12

b^2 - 4ac

Question 13

Discriminant laws

Answer 13

D > 0 means 2 different real roots
D = 0 means 1 repeated real root
D < 0 means no real roots

Question 14

Can you model with quadratics (real life situation)

Answer 14

Heur