Let's find the equation that shifts the parabola y=x²−4x 7 three spaces on the x-axis and -2 spaces on the y-axis.の英語

For f(x)=2x+1, when the domain of the function is [1,2], the range is [3,5].

when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a function of changes in the other (x)

Two triangles are congruent if the three sides of one are equal in length respectively to the three sides of the other.

the image of f(x) = x^2 is the set of all non-negative real numbers if the domain of the function is the set of all real numbers

the proportional relation between two divisions of line or two dimension of a plane figure such that short : long :: long : (short + long)

a trigonometric method of determining the position of a fixed point from the angles to it from two fixed points a known distance apart

the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

relating to or constituting the middle value of an ordered set of values (or the average of the middle two in a set with an even number of values)

a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry

a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

If you are listing more than 3 items, use an expression like "A, B, C, and D", it doesn't matter if you exclude the comma before "and".

As everybody will remember from school geometry, the sum of the three angles of any triangle is always 180 degrees.

a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane

a number puzzle in which the numbers 1 through 9 must be placed into a grid of cells so that each row or column contains only one of each number

a pattern of columns of short parallel lines with all the lines in one column sloping one way and lines in adjacent columns sloping the other way

Very few numbers can be put into simple exponential form, as, for instance, 10４ for 10,000.

a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise

a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third

a statistical relation between two or more variables such that systematic changes in the value of one variable are accompanied by systematic changes in the other

a value which is calculated by subtracting the real value, assigned value or theoretical value from a computer value, observation value or realization value

Even if X correlates with Y so that when X increases, so does Y, it doesn't mean that the change in X causes the change in Y, since a third factor, Z, could cause both.

the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x)

a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on

an instrument that indicates whether two periodic motions are synchronous (especially an instrument that enables a pilot to synchronize the propellers of a plane that has two or more engines)

a sonnet consisting of three quatrains and a concluding couplet in iambic pentameter with the rhyme pattern abab bcbd cdcd ee

a power unit equal to the power dissipated when 1 abampere flows across a potential difference of 1 abvolt (one ten-thousandth of a milliwatt)

an index of the relation between any two sets of scores that can both be represented on ordered binary dimensions (e.g., male-female)

the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere)

combine (a radio frequency wave) with a locally generated wave of a different frequency so as to produce a new frequency equal to the sum or the difference between the two

a sonnet consisting three quatrains and a concluding couplet in iambic pentameter with the rhyme pattern abab cdcd efef gg