Quadratic Graphs And Equations

Question 1

What is a quadratic expression?

Answer 1

Exp. In form ax^2 + bx + c (b or c can be 0 but a cannot)

Question 2

How do you solve quadratics?

Answer 2

Factorise or use the quadratic formula.
When factorising, set equation equal to 0; hence both brackets will equal 0 on their own and roots of equation can be found

Question 3

How do you complete the square?

Answer 3

Take out a as a factor and Make the initial bracket:
(X + b/2)^2
Subtract (b/2)^2
Reapply factor of an and add values up.
Turning point x coordinate will be - what the initial brackets need to make 0 and y coordinate will just be the number at the end of the

Question 4

How can completing the square be used in proof?

Answer 4

Anything squared will always be larger than 0 hence we can say a value will always be positive if the added no. At the end is also positive

Question 5

What should be noted in the graph when sketching quadratics?

Answer 5

X int
Y int
Vertex
Line of symmetry

Question 6

How to find int points between quadratic and line?

Answer 6

Sub equation of line into quadratic and solve to find x values where they meet. Sub back into linear equation to find y coords for each