Describe the end behavior of the graph. -2 -2 -2 2 -4 2 4 x -2 x1

Q: -4 -3 -2 -1 2.

A: Given query is to find the equation of the line in the form of slope and intercept.

Q: 5. бх - Зх --24

A: Given: 6x-3x= -24

Q: Which graph is the best match to a sketch of Y = -3x - 4

A: Given that: y=-3x-4

Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

A:

Q: Graph the line. y = -2x-4

A:

Q: 3 x - 2 by using a table. Graph y=2x+5 by using a table. Complete the table and then graph Graph y…

A: The table for y = 2x+5 is given below, x -5 -3 -1 2 y=2x+5 2*(-5)+5 = -5 2*(-3)+5 = -1 2*(-1)+5…

Q: 3 -2 -1 y 20 10 -10 -20 2 3

A: From the given graph we need to tell the behavior of function.

Q: T-M₂R)→R² Find the linear transformation whose matrix ~ = [ ²2 Мор=

A: A linear transformation is given by, T:M2×2ℝ→ℝ2 where MT=   1   0-1   1   2-1   1-1. The objective…

Q: Write the equation for the graph shown below. Write it in the form y = ax - h + k. The point is…

A: y=a|x-h|+k has vertex at (h, k),Given the graph has vertex at (-1,-4), so, h=-1, k=-4.

Q: Sketch-the-graphs.y = x² + 1, y = -x² + 2x + 51

A: we need to sketch the graphs of the function.

Q: A' (5,-3) B' (5,-12) (0,-7) C

A: For locating points A,B and C-  A(5,-3)- x=5, y=-3 B(5,-12)- x=5, y=-12 C(0,-7)- x=0, y=-7

Q: 18 16 14 12 10 -6 -4

A:

Q: 10 8 6 4 2 10 -8 -6 -4 -2 -2 -4 -6 -8 10 2 4 6 8 10 Write an equation for the graph, where y depends…

A: We need to write equation.

Q: Find the final amount of money in an account if $7, 600 is deposited at 6.5% interest compounded…

A:

Q: Write an equation for the graph below in terms of x 5+ -2 4 3 2 1 -2 -3 2

A: The equation of a line passing through two points and is

Q: If 1a, - 52 is a point on the graph of y = x2 + 6x, what is a?

A: Given (a,-5) is a point on the graph y=x2+6x To find a, Since (a,-5) is a point on the graph, the…

Q: 16 3+ 2- -6\ -5 -4 -3/-2\-1 -1 1/2 3 4 5/6 -2 -3 -4 -5 -6+ Write an equation for the function…

A: See the details solution in below

Q: Write the equation for the graph shown. *if typing |æ|, you would just type abs(x) 6 -3A -3 - -1…

A: First, we take a rough idea that this graph looks like y=-abs(x)

Q: Which problem could be modeled by the graph shown below?     John has $3 saved and saves $5 more…

A: The given graph is:

Q: Write an equation for the function graphed above. y =

A: The parent function of the graphed function is f(x)=secx

Q: What is the y-intercept of the graph below. 3 2 -1- 5-43-2 -1 0 -1 2 -3 3. 2.

A:

Q: 4. 2x-6 > 4x + 10

A: Here we have to plot the graph.

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.