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. Reflection of the parabola occurs when the basis parabola y=x2 is changed to y=-x2. For example, …show more content…
Vertical (upwards or downwards) translation of the parabola occurs when the basis parabola y=x2, y-value of each point is increased or decreased therefore changing the equation to either to y=x2+h or y=x2-h. For instance, in order to translate the parabola upwards by 5 units it shifts the general point (a, a2) to (a, a2+5) therefore making the equation, y= x2+5. The vertex of this parabola is now (0,5) but it still has the same axis of symmetry. Likewise, when the basis parabola becomes y=x2-5 the parabola is translated 5 units down with the vertex (0,-5). This can be seen through the graph in question 1a as the parabolas are vertically translated upwards or downwards by using the addition or subtraction of fourteen. Conversely, horizontal translation of the parabola occurs when the translation parabola equation y=x2±h is changed to y=(x±h)2. Therefore, the horizontal translation for the parabola is changed by the value of the variable h, that is subtracted from x before the squaring operation. For example, in order to translate the parabola to the left by 4 units it shifts the general point (a, a2) to (a, (a+2)2) therefore making the equation, y= (x+2)2. The vertex of this parabola is now (0,4). Likewise, when the basis parabola becomes y=(x-2)2 the parabola is translated 2 units to the right with the vertex (0,-4). This can be seen through the graph in
A reflection is a recreation and counterpart of an image; something that is identical in an opposite way. As the narrator in “The Yellow Wallpaper,” by Charlotte Perkins Gilman, stares into the walls of her isolated room, she begins to find a woman hidden among the patterns. She becomes invested in what these patterns mean and slowly starts to mimic the movements of the woman in the yellow wallpaper that surrounds her. The narrator’s so-called “nervousness” advances into insanity throughout the story as she becomes lost in this imaginary reflection she sees in her room. Gilman uses a progression of personification while describing the yellow wallpaper to show that the narrator is seeing a reflection of her own mental state, and attempting to
Reflection is telling us the operation of mind such as includes perception, thinking, doubting, believing, reasoning, knowing, willing.
What is reflection? Reflection is defined by Wilkinson (1996) as an active process whereby the professional gains an understanding of how historical, social, cultural, cognitive and personal experiences have contributed to professional knowledge and practice.
When the word reflection is mentioned, the first thought is a mirror-like image of yourself. This is to define your own perception of the acceptable and poor quality within yourself. Taking action of the weaknesses and developing my skills to improve me around everyone, (Stadter, 2015).
Not only has the increased amount of testing placed enormous pressure on teachers to perform, but on students as well; the pressure to do well on these assessments is causes young students to suffer from anxiety and stress. Brookside Elementary School in Norwalk, Conn., was just one of the thousands of American public schools classified as failing during the 2010-2011 school year, according to their standardized test scores (Berger). In "Raising the Curve: A Year Inside One of America’s 45,000 Failing Public Schools”, Ron Berler, a journalist who has written for The New York Times and Chicago Tribune, documents the year he spent observing students and educators at Brookside as they struggled to meet the demands of No Child Left Behind. “The
3) What do the rate of change values you just calculated represent? Why are some positive and some negative?
It will increase or decrease each division to the choosing time which will change the
You do this because, all points have been translated in a straight line, in the same direction (the direction is [7 -1]) by the same distance, the new figure A'B'C'D' would have the same shape, same orientation and same size as the original image. It would just be in a different location on the graph. If you were to join A with A', B with B', and so on, you would see that all 4 of the vectors are parallel and are all equal length.
The first quadrant of the graph was used so the shaded portion goes to the origin before it stops at the two axes.
When the word reflection is mentioned, the first thought is a mirror like image of yourself. This is to define your own perception of the good and bad quality within yourself. Taking action of the weaknesses and developing my skills to improve myself around everyone, (Stadter, 2015).
There are a different models of reflection. One of them is Johns (1994) model of reflection, this model is based on five cue questions: description, reflection,
The word reflection refers to the production or return of an image that is created through light or through thought. This
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.
In a parabola, the curvature of the two lines is dictated by the focus point. The focus point is a set of coordinates [usually (X,0) or (0,Y)] that, by slope, proportionally separate the two lines in a parabola. Parabolas always have a lowest point