2.3 Quadratic Functions Flashcards
What do we call a linear function that is increased by a degree of one?
If the degree of a linear function is increased by one, we obtain a second-degree function, usually called a quadratic function, another basic function that we will need
in our library of elementary functions.
What is the standard form of a Quadratic function?
What is the x-intercept of a function called? How can we find it?
An x intercept of a function is also called a zero of the function. The x intercept of alinear function can be found by solving the linear equation y =mx +b=0
for x, m∙0 (see Section 1.2). Similarly, the x intercepts of a quadratic func-tion can be found by solving the quadratic equation y =ax^2+bx +c =0
What is the Quadratic formula?
What is the vertex form?
How do we use completing the square to get the vertex form?
Properties of a quadratic function and its graph
How do you complete the square.
Take half of the value, then give it the power of 2
If it does not interact with the x-axis
How can you tell from a function in its vertex form if it only has one zero?
If a is not 0 and if k=0
