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Using the slope-intercept form, the slope is −3 .
The graph of y = b is a horizontal line passing through the point (0, b) on the y-axis. To graph an equation of this form, such as y = 4, plot the point (0, b) on the y-axis and draw a horizontal line through it (see Example 4).
The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.
Answer: The function f(x) has the greatest y-intercept.
Answer: C. The y-intercept of the graph is 4 so it is the smallest.
f(x) has the smallest minimum. The largest sin(x) can get is 1. This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3. You can see this each time the red curve bottoms out at y = -3.
The square function has minimum 0, so g(x) has minimum 0-1=-1. h(x) has minimum -6 when x=1, so it has the smallest minimum.
The function f(x) has smallest minimum y-value.
The function g(x) has smallest minimum y-value.
The correct answer is f(x)=1/3(-x+1)^5.
Answer Expert Verified If graph of the function y=f(x) was shifted to the right 1 unit, then you got new function y=f(x-1).
Shift left and right by changing the value of h You can represent a horizontal (left, right) shift of the graph of f(x)=x2 f ( x ) = x 2 by adding or subtracting a constant, h , to the variable x , before squaring. If h>0 , the graph shifts toward the right and if h<0 , the graph shifts to the left.
Moving left and right This is always true: To shift a function left, add inside the function’s argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shiftedb units to the right.
Given a function f, a new function g ( x ) = f ( x − h ) /displaystyle g/left(x/right)=f/left(x-h/right) g(x)=f(x−h), where h is a constant, is a horizontal shift of the function f. If h is positive, the graph will shift right. If h is negative, the graph will shift left.
Describing language of a graph
To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. A vertical bar chart is sometimes called a column chart.
Required bar graph titles include the name of the graph, the title of the vertical axes, and the title of the horizontal axes. It is important to title bar graphs carefully so the information makes sense and the graph is easy to read and understand. Name the bar graph.
A bar chart is a graph with rectangular bars. The graph usually compares different categories. Although the graphs can be plotted vertically (bars standing up) or horizontally (bars laying flat from left to right), the most usual type of bar graph is vertical.
CARMALT – Basic parts of graphs
|5 components of a good graph are:||TITLE, AXES, INCREMENTS, LABELS, SCALE|
|tells what graph is about||TITLE|
|changing variable is known as _____||INDEPENDENT|
|Dependent variable is on which axis that is vertical?||Y|