Quadratic Basics
What is the degree of a quadratic function?
What is 2?
What is the form called where the quadratic is written as y=a(x−h)2+ky = y=a(x−h)2+k?
What is the vertex form?
The graph of a quadratic function is called what?
What is a parabola?
The points where the parabola crosses the x-axis are called what?
What are roots or zeros?
The expression b2−4ac is called what?
What is the discriminant?
What is the general form of a quadratic function?
What is y=ax2+bx+c?
The standard form of a quadratic function is y=ax2+bx+c. True or false?
What is true?
If the parabola opens downward, what is the sign of a?
What is negative?
The quadratic formula is used to find what?
What are the roots or solutions?
A positive discriminant indicates the quadratic has two or one real roots?
What are two?
What do we call the highest or lowest point on a parabola?
What is the vertex?
The form y=a(x−r1)(x−r2) is called what?
What is the factored form?
The line x=−b/2a is called what?
What is the axis of symmetry?
If the discriminant is zero, how many real roots does the quadratic have?
What is one?
The discriminant helps determine the number and type of what?
What are roots or solutions?
The parabola opens upward when a is positive or negative?
What is positive?
The coordinate of the vertex is (h,k). How is h calculated from a, b, and c?
What is −b/2a?
The widest parabola has a very small or very large value of ∣a∣?
What is very small?
If the discriminant is negative, how many real solutions are there?
What are none (or zero)?
If the discriminant is greater than zero, the roots are real and distinct or equal?
What are distinct?
Which part of the quadratic function determines the direction the parabola opens?
What is the coefficient a?
What does the vertex form of a quadratic help you easily identify?
What is the vertex coordinates?
The parabola's extreme point (highest or lowest) is at the vertex. True or false?
What is true?
When the discriminant is positive, how many real roots does the quadratic have?
What are two?
When the discriminant b2−4ac is less than zero, the solutions are real or complex?
What are complex solutions?