How to describe the shape of a graph

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May 01, 2007 · A graph is a diagram , usually a line or curve , which shows how two or more sets of numbers or measurements are related . 6. A table is a set of facts and figures arranged in columns and rows.A table is a very useful way of organising numerical information . 7. Jul 28, 2015 · To find an equation in the form y = aabs(x-h) +k, do the following: The graph will be shaped like a V or an upside down V The vertex is the point (h, k), so look at the graph to determine the coordinates of the vertex. (It is the point of the V.) The graph will have straight lines on both sides of the vertex. To the right of x=h, the slope of the line will be what we need for a in the equation ... there are two axes - horizontal (often called the x -axis) and vertical (often called the y -axis), a point on the graph is denoted by an ordered pair (or coordinates (e.g., (3,8)) where: the first number refers to horizontal position on the x -axis, the second number refers to vertical position on the y -axis, Feb 22, 2019 · This blog offers two great lessons on describing, analysing and evaluating graphs / charts / tables. The first lesson begins with naming different graph / chart types, describing a range of different lines (peak, plummet, etc..) and finishing with a fun activity where students describe and plot the lines on four graph s. Aug 28, 2020 · However, there is another issue to consider regarding the shape of the graph of a function. If the graph curves, does it curve upward or curve downward? This notion is called the concavity of the function. Figure \(\PageIndex{4a}\) shows a function \(f\) with a graph that curves upward. As \(x\) increases, the slope of the tangent line increases. The graph of a quadratic equation in two variables (y = ax2 + bx + c) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: Parts of shapes Shaped like a specific object Free thesaurus definition of words used to describe the shape of objects from the Macmillan English Dictionary - a free English dictionary online with thesaurus and with pronunciation from Macmillan Education. Jun 16, 2018 · Re “How would one describe the shape of this graph?”, which graph? The blue bar graph or the red line graph? To me, the blue bar graph looks like a city skyline, or perhaps a set of nuclear reactor control rods. Jun 03, 2020 · These graphs are a measure of economic performance over time. Economists use the shape of the graph as a shorthand to describe the recovery process after a crisis like a recession, financial ... As you drag the point A around notice that after a full rotation about B, the graph shape repeats. The shape of the tangent curve is the same for each full rotation of the angle and so the function is called 'periodic'. The period of the function is 360° or 2π radians. You can rotate the point as many times as you like. These shape graphs are a playful way to teach the names and characteristics of the most common 2D shapes while working on graphing at the same time. They’re a fun addition to any 2d shape unit . 2D Shape Graphing Shape Definitions: Symmetric: if the right and left sides of the graph are approximately mirror images of each other. Skewed to the right (right-skewed) if the right side of the graph is much longer than the left side. Skewed to the left (left-skewed) if the left side of the graph is much longer than the right side. DiceRolls 0 2 4 6 8 10 12 Step 3: Join the Midpoints to Find the Shape. The next step is to plot the midpoints of the bars of the histogram. These midpoints must then be joined to develop the curve of the data that is also called the shape of the data. Amongst the many characteristics of the shape of the data that are important, perhaps the prime category is symmetry. To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called 'sinusoidal' after the name of the sine function. When you describe this you want to talk about 3 different things: 1. Center 2. Shape 3. Spread 1. Center - where does this appear to be? Is this a single mode or double mode? 2. Shape - Does this look like a bell curve (normal)? Is there a skew to it? Feb 22, 2019 · This blog offers two great lessons on describing, analysing and evaluating graphs / charts / tables. The first lesson begins with naming different graph / chart types, describing a range of different lines (peak, plummet, etc..) and finishing with a fun activity where students describe and plot the lines on four graph s. Mar 18, 2018 · In order to sketch the graph of the quadratic equation, we follow these steps : (a) Check if `a > 0` or `a < 0` to decide if it is U-shaped or n-shaped. (b) The Vertex: The x-coordinate of the minimum point (or maximum point) is given by `x=-b/(2a)` (which can be shown using completing the square method, which we met earlier). Aug 28, 2020 · However, there is another issue to consider regarding the shape of the graph of a function. If the graph curves, does it curve upward or curve downward? This notion is called the concavity of the function. Figure \(\PageIndex{4a}\) shows a function \(f\) with a graph that curves upward. As \(x\) increases, the slope of the tangent line increases. Using a double y-axis, one for the bar graph and one for the line, allows you to show two elements of your story in one graph. The primary y-axis below shows orders (bar graph), and the secondary y-axis is sales totals (line). The metrics are different and useful independently, but together, they tell a compelling story. 3) Maps the basic 2-D shapes; how to use scaled instruments to measure objects. the definition of ascending and descending order. the language/vocabulary used to describe 2-D shapes (edges, corners) Understand: that 2-D shapes have different properties and identification features. Do: I can describe and draw 2-D shapes. Describing the Graph of a Function Sometimes you need to describe the graph of a function in a non-symbolic way. For example, you may be asked whether a function is increasing or decreasing; whether it has one minimum value or maximum value, or several such values whether it is linear or not Line graphs are like scatter plots in that they record individual data values as marks on the graph. The difference is that a line is created connecting each data point together. In this way, the local change from point to point can be seen. Jun 03, 2020 · These graphs are a measure of economic performance over time. Economists use the shape of the graph as a shorthand to describe the recovery process after a crisis like a recession, financial ... Apr 24, 2018 · A histogram illustrates the overall shape of the distribution of the data. The height of the bars show how many observations fall in that range. We will describe the shape of the distribution of a data set using the following basic categories: symmetric, bell-shaped, skewed right, and skewed left. To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called 'sinusoidal' after the name of the sine function. Line graphs are like scatter plots in that they record individual data values as marks on the graph. The difference is that a line is created connecting each data point together. In this way, the local change from point to point can be seen. Apart from a visual point of view that is by using graphs, we can also describe the shape of a distribution numerically by computing a measure of skewness. The skewness is positive if the distribution is skewed to the right. The skewness is negative for distributions skewed to the left. Aug 28, 2020 · However, there is another issue to consider regarding the shape of the graph of a function. If the graph curves, does it curve upward or curve downward? This notion is called the concavity of the function. Figure \(\PageIndex{4a}\) shows a function \(f\) with a graph that curves upward. As \(x\) increases, the slope of the tangent line increases. Jun 03, 2020 · These graphs are a measure of economic performance over time. Economists use the shape of the graph as a shorthand to describe the recovery process after a crisis like a recession, financial ... A cumulative frequency polygon for the same test scores is shown in Figure 2. The graph is the same as before except that the Y value for each point is the number of students in the corresponding class interval plus all numbers in lower intervals. The shape of a histogram describes how the scores are distributed from low to high Where the scores are clustered or massed • Taller Bars in the histogram indicate more data points are clustered around that point Whether the shape of the histogram is normal, skewed, or some other shape Chapter 2 DESCRIBING DATA –HISTOGRAMS Feb 01, 2016 · A histogram may have a variety of shapes. However, the 3 most common of these shapes of histograms are skewed, symmetric, and uniform. Examples of symmetric histograms The dashed lines cut the graph into 2 equal pieces, so both graphs are symmetric with respect to the dashed line. The graphs of many functions are transformations of the graphs of very basic functions. The graph of y = -x2 is the reflection of the graph of y = x2 in the x-axis. Example: The graph of y = x2 + 3 is the graph of y = x2 shifted upward three units. This is a vertical shift. x y-4 4 4-4-8 8 y = -x2 y = x2 + 3 y = x2 Line graphs are like scatter plots in that they record individual data values as marks on the graph. The difference is that a line is created connecting each data point together. In this way, the local change from point to point can be seen.