Vocabulary
This key feature of quadratic functions is the vertical line through the vertex about which the graph is symmetrical
What is the axis of symmetry?
A method for solving quadratics that involves the substitution of the coefficients a, b, and c into this formula that yields two solutions
What is the quadratic formula?
This is the correct solution to the square root of 25
What is 5 AND -5?
This is a commonly-used method to factor quadratics.
What is the box method?
A category of quadratic applications that involves throwing an object or launching something
What is projectile motion?
A method of solving quadratic equations in which the trinomial expression is broken down into the product of two binomials. Example (x-2)(x-3)
What is factoring?
When we read the quadratic formula, we interpret the first term as THIS rather than as negative
What is the opposite of b?
This is the value of c in the trinomial x2+12x+c that would make it a perfect square trinomial
What is 36?
These are revealed by using the zero product property on the factors of a quadratic.
What are zeros?
What are x-intercepts?
What are solutions?
What are roots?
The length of a rectangle is 3 units more than the width. The area of the rectangle is 54 units.THIS is the width of the rectangle.
What is x=6?
This key feature of quadratic functions represents either the minimum or the maximum of the function, depending on the sign of the leading coefficient
What is the vertex?
This is the purpose of the quadratic formula
What is to solve for x?
Solve for x by completing the square: x2+6x+25=0. (Hint: remember there will be 2 solutions)
What is x=1 and x=-7?
These are the solutions to the following quadratic solved by factoring x2-7x-30
What are x=10 and x=-3?
This is the type of solution you should reject when solving quadratic applications problems
What are negative solutions?
A symmetrical u-shaped curve of which quadratic functions typically take the shape
What is a parabola?
Solve for x by using the quadratic formula: x2+14x+40
What is x=-10 and x=-4?
Solve for x by completing the square: x2+8x+7=0 (Hint: there will be two solutions)
What is x=-1 and x=-7?
When utilizing the box method to factor, this is the value that we use on each row and column to determine the value that goes outside the box. (Hint: it is the largest number by both terms in the row or column are divisiblee)
What is the greatest common factor?
This value in a quadratic equation is always represented by the constant term and occurs when x=0.
What is the initial value?
This early Arab mathematician is credited with the invention of algebra (based on the arabic word al-jabr)
Who is Muhammad ibn Musa al-Kwarizmi?
What is evaluate the expression under the radical?
This is the polynomial x2-5x=3 rewritten as a perfect square. Hint: it will take the form (x-(b/2))2= c
What is (x-(5/2))2=(13/4)?
This is a special case quadratic equation that can always be factored into (a+b)(a-b)
What is difference of perfect squares?
This value is represented by the b coefficient of a polynomial ax2+bx+c and indicates how quickly the object is moving
What is velocity?