Copy all graphs on paper and below each graph, write a linear equation, with numerical coefficients, that COULD represent it.

Q: Graph equation y = x2 + 2. Let x = -3, -2, -1, 0,1, 2, and 3.

A: We will make a table using the values for y = x2 + 2

Q: On the same axes, graph the lines x = 0, x = 2, and x = — 2.

A: Given: x=0, x=2, x=-2 Graph of given equations of lines on same rectangular coordinate system can be…

Q: write the equation of the graph given the x intercepts -4 and 9.

A:

Q: Match each linear equation with its graph I b I Equation ©g=5–4 y=−x+1 1 -x+1 2° U = y = y = 4 1 -X…

A:

Q: represent the graph of y = x + 1?

A: The given function is: y=x+1

Q: A line that is perpendicular to the line y = x+ 2and has a y intercept of 3 can be written %3D as y=…

A: The equation of line in slope intercept is given by y=mx+b The equation of given line is  y=13x+2

Q: Graph the equation y=-x

A: The equation y = - x says that the resultant value is a negative sign of the input value.

Q: Sketch the graph of each linear equation using any of the three methods (any two points, x and…

A: Sketch the graph of each linear equation

Q: Find the equation for the line that passes through ( – 9, – 5) that has slope 2. Give your answer in…

A:

Q: explain in detail how the graphs of the equations provided meet rods criteira

A: We have the equations f(x)=1.23x−2----(1) and g(x)=2.27650 sin⁡(x−1)−1.45561----(2).The graphs of…

Q: Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.