Basic Terms
What is the term for a polynomial function of degree 2?
Quadratic Function
What are the x-values where the quadratic equals zero?
Roots or Zeros
If a > 0, does the parabola open upward or downward?
upward
Expressing a quadratic as a product of factors is called what?
Factorization
The maximum height of a projectile can be found using the vertex of its quadratic equation. True or false?
True
What is the form y= ax2 + bx + c called?
Standard Form
Which formula is used to find the roots of a quadratic?
Quadratic Formula
Where does the parabola cross the y-axis?
y-intercept
The quadratic formula involves a plus-minus symbol. Why?
To find both roots (solutions)
If a company wants to model profit with a quadratic function, what part of the parabola represents maximum profit?
Vertex
What is the highest or lowest point on a parabola called?
Vertex
The expression b2−4ac is called the what?
Discriminant
How do you find the vertex if the quadratic is in standard form?
h=−b/2a and then find k by plugging h into the equation?
Complete the phrase: "The quadratic formula is x= −b±____/2a
The square root of the discriminant
The roots of a quadratic function can represent the points where a projectile hits the ground. True or false?
True
What is the line that passes through the vertex and divides the parabola into two mirror images?
Axis of Symmetry
If the discriminant is negative, how many real roots does the quadratic have?
none (zero)
What is the term for rewriting a quadratic in the form y= a(x−h)2 + k?
completing the square
To rewrite a quadratic in vertex form, what algebraic process is often used?
completing the square
A quadratic function can model the path of a ball thrown in the air. What shape does this path form?
Parabola
The graph of a quadratic function is called a what?
Parabola
If the discriminant is zero, how many real roots does the quadratic have?
One
The parabola opens downward if a is greater than or less than zero?
Less than Zero
When the quadratic factors as (x−r1)(x−r2), what are r1 and r2?
roots or zeros
In real-world problems, the discriminant helps determine what about the solutions?
nature or number of solutions