Graph A DEF with vertices D ( 4,0), E (-8,4) and F (0, -4) and its image with the scale factor is 0.25.

Q: what is the horizontal change on a graph described as ?

A: According to the given information it is required to describe horizontal change on a graph.

Q: if (a,6) is a point on the graph of y=x2 - x, what is a?

A: To determine the value of a.

Q: Identify the vertex an axis of symmetry of the graph of g(x)=|x|-8. A) (0,8); y=-8 B)(0,-8); x=0…

A: g(x)=|x|-8 vertex=(0,-8)axis of symmetry⇒x=0

Q: identify the vertex axis of symmetry and min/max value and domain and range y=1/3(x+2)^2-1

A: The given function is in the form of a quadratic function, y = a(x - h)^2 + k, where (h, k) is the…

Q: graph on a grpg y=2x-1

A:

Q: 450 400 350 300 0 2000 4000 6000 8000 10000 12000 14000 16000

A: Scatter plot is the graphical representation of the relationship between two variables of a…

Q: Identify all points of non-differentiability in the graph shown below.

A: The objective of the question is identification of points in which given function is not…

Q: Sketch a graph of y = V + 2 5+ 4- 3- 2- -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5

A:

Q: If (a, 3) is a point on the graph of y = 5x + 8, what is a? a =

A:

Q: 47 3 2- 1 -2 -1 -1 2/ 3 4 5 6 1 -2- -3 -4+

A: Answer

Q: Which graph best represents a line with an x-intercept of (- 1, 0) and a y-intercept of (0, 3)

A:

Q: the graph of y = b², where b > 0, b = 1 and x € R?

A: To explain: The graph of y=bx, where b>0, b≠1 and x∈R. Explanation: The graph of y=bx, where…

Q: What happens to a graph when a is less than 0?

A:

Q: Which of the following choices corresponds to the graph? + + + -5 -4 -3 -2 -1 0 1 2 3 4

A: concluding that the graph denotes set of real numbers less than or equal to -3

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.