Chapter 3 Quadratic Functions Flashcards
What is the following function an example of?
f(x)=ax^2+bx+c
It is an example of a Quadratic function
What is a parabola?
It is the cup shaped graph that is the result of a Quadratic function
What is a vertex?
The maximum or minimum point on the parabola
What is it mean to find the zeros of a function?
It means to find the x-intercept
What is the factored form of the Quadratic Function?
q(x)=a(x-r)(x-s)
R and S are the zeros of the function
What is the quadratic formula?
-b +- sqrt(b^2 - 4ac)
x= ———————————
2a
How do you find the zeros of the function using the quadratic function?
Simply solve for x
How to determine the concavity of the graph from its function?
If the a value is greater than zero than it is concave up.
If the a value is less than zero then it is concave down.
How would you find a formula from the zeros and vertical intercept?
Use the factored form to find a formula for the function.
Plug in the zeros and then equal the function to the y intercept value.
What is the vertex form of a Quadratic Function?
f(x)=a(x-h)^2 + k
What is the vertex in the vertex form here?
f(x)=a(x-h)^2 + k
(h,k)
Where does the axis of symmetry occur in the following vertex form?
f(x)=a(x-h)^2 + k
h
How would you find a formula given the vertex and another point?
Plug in the vertex to the vertex form and then equal that formula to the y value of the y intercept
How would you convert a normal quadratic function
f(x)=ax^2 + bx + c
To the vertex form
f(x)=a(x-h)^2 + k ?
By completing the square
What is completing the square?
A method for producing a perfect square within a quadratic expression
