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Math Chapter 5 Vocab Words
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Terms in this set (31)
Quadratic function
Definition- A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.
Sentence- I need to graph my quadratic function.
Parabola
Definition- The parabola is the curve formed from all the points (x, y) that are equidistant from the directrix and the focus.
Sentence- When I throw a ball it goes in a parabola.
Vertex of a parabola
Definition- The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
Sentence- To have a vertex of my parabola I need to use my Y axis.
Axis of symmetry
Definition- The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
Sentence- The axis of symmetry is the same as a line of symmetry in a parabola.
Standard form of a quadratic equation/function
Definition- An equation using the form ax2+bx+c=0
Sentence- I can use standard form of a quadratic equation to graph.
Vertex form of a quadratic equation
Definition- An equation using the format f(x)= a(x-h)2+k
Sentence- I can factor a vertex form quadratic equation into a standard form quadratic equation.
Intercept form of a quadratic equation
Definition- An equation using the format y=a(x-p)(x-q)
Sentence- Using intercept form helps give me my X and Y intercepts.
Binomial
Definition- an algebraic expression of the sum or the difference of two terms.
Sentence- When I have a binomial it has two terms in it.
Trinomial
Definition- An algebraic expression of the sum or the difference of three terms.
Sentence- When I have a trinomial I have three terms in it.
Factoring
Definition- the process of finding the factors.
Sentence- When I factor I need to find the GCM.
Monomial
Definition- A monomial is a product of positive integer powers of a fixed set of variables.
Sentence- When I have a monomial I only have one term.
Quadratic equation
Definition- A quadratic equation is a second-order polynomial equation in a single variable.
Sentence- I can always graph a quadratic equation.
Zero product property
Definition- If a x b= 0 then a=0 or b=0
Sentence- The zero product property always has a zero in it.
Zero of a function
Definition-In other words, a "zero" of a function is an input value that produces an output of zero
Sentence- When I have a zero of a function it will be on the X axis or the Y axis.
Square root
Definition-In mathematics, a square root of a number a is a number y such that y2 = a
Sentence- The square root of 16 is 4.
Radical sign
Definition- the sign √, which indicates the square root of the number following
Sentence- If I am finding the square root of something then I need to use the radical sign.
Radicand
Definition- A radicand is the number under a radical symbol (√).
Sentence- My number that I am finding the square root of is the radicand.
Radical
Definition- Can be any root.
Sentence- Rad 16 is 4.
Rationalizing the denominator
Definition- Multiply Both Top and Bottom by the Conjugate.
Sentence- We need to rationalize the denominator so find the square root of the denominator.
Imagery unit, i
Definition- The "unit" Imaginary Number (the equivalent of 1 for Real Numbers) is √(-1).
Sentence- The imaginary unit equals 1.
Complex number
Definition- A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1.
Sentence- A complex number uses imaginary units.
Standard form of a complex number
Definition-Standard form" for complex numbers is a+bia+bi where aa and bb are real numbers. If aa or bb is 0, you omit that part.
Sentence- You need to put your complex number in standard form.
Imaginary number
Definition- An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, [note 1] which is defined by its property i2 = −1.
Sentence- An imaginary always equals 1.
Pure imaginary number
Definition- standard form a + bi, where a and b are real numbers and i is. the imaginary unit
Sentence- We have a standard form with an imaginary unit.
Complex plane
Definition-In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the orthogonal imaginary axis.
Sentence- We are able to graph a complex plane.
Complex conjugates
Definition- In mathematics, the complex conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign.
Sentence- The imaginary number is the opposite in the sign in a complex conjugate.
Completing the square
Definition- Completing the Square is a technique used to solve quadratic equations, graph quadratic functions, and evaluate integral
Sentence- To solve a quadratic equation we need to complete the square.
Quadratic formula
Definition- Definition of Quadratic Formula. The quadratic formula, , is used in algebra to solve quadratic equations.
Sentence- The quadratic formula is -b+/- square root b2-4AC/2A
Discriminant
Definition- The discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula.
Sentence- 2A is the discriminant in the quadratic formula.
Quadratic Inequality
Definition-A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function.
Sentence- The degree always has to be 2 in a quadratic inequality.
Best-fitting quadratic model
Definition- They represent Values decrease then increase, Values increase and then decrease, Values depending on surface area, Objects thrown into the air.
Sentence- Best-fitting quadratic models show real life situations.
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