Chapter 3 Flashcards
(17 cards)
Define quadratic function.
Form f(x) = ax^2+bx+c where a not = 0.
Factorise x^2-3x-40 and 2x^2-2x-60.
(x-8)(x+5).
2(x+5)(x-6).
What is the quadratic formula?
(-b+-square root(b^2-4ac))/2a
Define parabola.
Shape of a quadratic. Dependent on coefficient a.
When does a quadratic cross the x and y axis?
The roots and (0,c).
What points do you always draw on your graph?
Roots, vertex and y-intercept.
In completing the square, what is p and q?
half of coefficient of x and p^2.
Prove the quadratic formula.
Textbook.
Where is the line of symmetry on a quadratic graph?
Through the turning point (-p).
What is the turning point?
(-p,q).
With 2 inequalities how do u solve both?
Draw number lines and show where both are satisfied.
What is the discriminant?
b^2-4ac.
How many roots when d <0,=0,>0?
0,1,2.
When x<0, where is graph when a>0,a<0?
y>0,y<0.
How to solve an inequality?
Make one side equal zero and draw.
How do you solve a quadratic equation?
Make a substitution.
What is an exponential equation?
Equation with the unknown variable in the power that requires a substitution e.g. a^x
