Vertical Synthesis

Answer = The first part of the graph resembles a bell shape. At the latter part of the graph it takes a sharp increase.

 Week 7 DQ 21. What is the quadratic formula?2. What is it used for?3. Provide an example, not found in the text.

The slant of the relationship is characterized as the measure of progress in one variable given a unit change in the other variable. In the given relationship, the incline is given by the measure of fall in cost required to expand number of visits by a unit.

Quadratic functions are represented by the equation f(x)=ax^2+bx+c and are graphed in a U shape known as a parabola. A quadratic is a function in which x^2 is the greatest power. This curve occurs when two lines are multiplied together. If the value of a is greater than 0, the parabola is positive and opens upwards. If a is less than 0, the graph is negative and opens downward. In order to find the vertex, the maximum or minimum value of a quadratic, begin by finding the x coordinate, the axis of symmetry, using variables from the given equation in (-b)/2a. Insert the x value into the function and solve to find the y coordinate of the

For my “Non-function Piece-wise Function” project, I decided to use a miniature Christmas tree as my object. Right after tracing the object onto my graph paper, I calculated the equation of each line segment. In order to find the equations of each line segment, I first had to find the slope of the lines. To find the slope, I picked two obvious points from a line segment and plugged it into the slope equation. Finally, I plugged in the slope that I figured out into the “point-slope form” equation along with one point of my choice, and finally got the equation.

b. Describe how you handled the smaller number in your graph in relation to the much larger ones to be depicted.

However, in order to find a linear slope of a parabolic curve, the mathematical equation of distance/time^2 ( pertaining to the data as cm/s^2) is used to produce the linearization of the distance-time graph. A linear distance-time graph is the equivalent of a velocity-time graph by identifying the slope of the distance-time graph. Another best fit line (a linear trendline) was plotted within the newly charted velocity-time graph. The equation identified through the trendline was Velocity=808.578cm/s^2 (t) +44.450 cm/s. The 44.450cm/s represents the point in which the linear data crosses the y-axis as the y-intercept. Additionally, the 808.578cm/s^2 represents the slope of the velocity-time graph in which the acceleration can be

a period, of the independent variable. Horizontal shift is obtained by determining the change being made to the x value. A phase shift represents the

After applying more of my critical thinking in solving some exercises while reading has been of a great effect to my learning process in unit 2 of College Algebra. According to Stitz, C. & Zeager, J. (2011), During the second week of term 4, I could read and cover many topics but the text I found difficult to read are firstly, Graphs of Polynomials that states where a0, a1, . . . , an are real numbers and n _ 1 is a natural number. According to 3.2 definition where we can now think of linear functions as degree 1 (or first degree') polynomial functions and quadratic functions as degree 2 (or second degree') polynomial functions. The end behavior of a function is a way to describe what is happening to the function values (the y-values) as the x-values approach the `ends' of the x-axis.9 That is, what happens to y as x becomes small without bound and, on the flip side, as x becomes large without bound. While reading to understand this concept, I took up and practice this convention as stated in the text at this point and considered when plotting it graphically, it looks a bit complex to my understanding. All

Calculus students have difficulty interpreting the meaning of slope in the context of a problem based on its sign and computational value.

B) As the constant A is changed (from 1 to 2, to 0.3) the amplitude of the graph is greatly changed. For example, when the constant A is changed to 0.3 from 1, the amplitude is also changed to 0.3. However the change does not affect the pattern of the critical points (along the x axis). When the Constant A is changed to a negative (1 to -1, to -2) the patter is reversed (peaks are in the places troughs were and troughs are in the places peaks were, also on the opposite side of the x axis). The critical points don't change. In conclusion, constant A changes the amplitude of the graph.

The shape of the basis parabola y=x2 changes for different forms of the parabolic function causing it to translate, reflect or dilate. Dilation (widening or narrowing) of the parabola occurs when the basis parabola y=x2 is multiplied or divided (m) therefore changing the equation to either y=mx2 or y=x^2/m. For instance, if the parabola is multiplied by two the parabola becomes narrower whereas if the parabola is divided by two the parabola becomes wider. This is evident in the graph in question 1b as when the basis parabola is multiplied by fourteen the parabola becomes narrower however when the basis parabola is divided by fourteen it becomes wider.

With zeros of a±b. If we say that a = 2 and b = -3, then this function has zeros of 2±(-3). In this form of zeros, we can say that 2 is the x value of the vertex coordinates, lying on the axis of symmetry of Y2 on the x-axis, and ±3 are just the distances between the mid point 2 to the points where Y2 intersects x-axis. It is clearly shown on the graph below.

The gestalt is observed all mental element as unity because the gestalt declared that totality is the first point to observe the mental processed, whereas mental element are secondary. Therefore, every pieced of mental element are important to make a whole constellation of consciousness. This perception has a meaningful of consciousness that get to know a whole perspective of mental

Its slope is negative, shape is concave or bowed, points inside are inefficient, a point on the PPF are efficient and attainable, point above are unattainable and also require economic growth.