Math Final

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Across
  1. 5. in mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. For example, the dimension of the matrix below is 2 × 3, because there are two rows and three columns
  2. 6. In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line
  3. 7. In algebra, the zero-product property states that the product of two nonzero elements is nonzero. In other words, it is the following assertion: If ab=0, then a=0 or b=0
  4. 9. A vertical stretching is the stretching of the graph away from the x-axis. A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.
  5. 11. A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.
  6. 12. The dimensions of a matrix are the number of rows by the number of columns. If a matrix has a rows and b columns, it is an a×b matrix.
  7. 13. In mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection. The image of a figure by a reflection is its mirror image in the axis or plane of reflection
  8. 16. In mathematics, a parent function is the simplest function of a family of functions that preserves the definition of the entire family. For example, for the family of quadratic functions having the general form {\displaystyle y=ax^{2}+bx+c\, } the simplest function is {\displaystyle y=x^{2}}
  9. 17. Slope-intercept form definition is - the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
  10. 19. In general, a solution of a system in three variables is an ordered triple (x, y, z) that makes ALL THREE equations true. In other words, it is what they all three have in common. So if an ordered triple is a solution to one equation, but not another, then it is NOT a solution to the system.
  11. 20. In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree
Down
  1. 1. In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.
  2. 2. The minimum value of a function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of a quadratic function to determine minimum cost or area. It has practical uses in science, architecture and business.
  3. 3. Linear equations in three variables. If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0) then ax + by + cz = r is called a linear equation in three variables. (The “three variables” are the x, the y, and the z.) The numbers a, b, and c are called the coefficients of the equation.
  4. 4. Maximum, In mathematics, a point at which a function's value is greatest. ... If the value is greater than or equal to all other function values, it is an absolute maximum
  5. 8. In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.
  6. 10. Consisting of three terms of which the first is the name of the genus, the second that of the species, and the third that of the subspecies or variety.
  7. 14. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the UK
  8. 15. In mathematics, a transformation is a function f that maps a set X to itself, i.e. f: X → X. In other areas of mathematics, a transformation may simply refer to any function, regardless of domain and codomain.
  9. 18. In geometry, focuses or foci, singular focus, are special points with reference to which any of a variety of curves is constructed. For example, one or two foci can be used in defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola.