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What variable in a quadratic function causes the function to transform reflect or have a vertical stretch or shrink?
The wording is confusing, as a quadratic function is normally a function of one variable. If you mean the graph of y = f(x) where f is a quadratic function, then changes to the variable y will do some of those things.
The transformation y --> -y will reflect the graph about the x-axis.
The transformation y --> Ay (where A is real number) will cause the graph to stretch or shrink vertically.
The transformation y --> y+A will translate it up or down.
What else can I help you with?
What do you call a function whose graph is a non-vertical line?
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
A function will always be a vertical line?
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
What graph indicates that there is a linear relationship between the dependent variable and the independent variable.?
A straight line which is not vertical.
How do you find an inverse of a function?
The inverse of a function can be found by switching the independent variable (typically the "x") and the dependent variable (typically the "y") and solving for the "new y". You can also create a t-chart for the original function, switch the x and the y, and graph the new relation.You will note that a function and its inverse are symmetrical around the line "y = x".Sometimes the inverse of a function is not actually a function; since it doesn't pass the "vertical line test"; in this case, you have to restrict the new function by "erasing" some of it to make it a function.
Can a one to one function not be a function?
"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.
When is it not a function?
A function is not a function if it passes through the vertical line test more than once, and it is not linear or a quadratic.
(-1,0),(-1),(-3,1),(-3,1) it is a function or not?
A function is not a function if it passes through the vertical line test more than once, and it is not linear or a quadratic.
When a function is graphed the independent variable is usually measured along the vertical axis?
True
How do you recognize a function graph?
Assuming that the independent variable (often called "y") is along the vertical axis: to be a function, no vertical line may cross the graph in more than one place.
Can the graph of a rational function have more than one vertical asymptote?
Assume the rational function is in its simplest form (if not, simplify it). If the denominator is a quadratic or of a higher power then it can have more than one roots and each one of these roots will result in a vertical asymptote. So, the graph of a rational function will have as many vertical asymptotes as there are distinct roots in its denominator.
Is a line with undefined slope the graph of a function?
This is not a function. To be a function, there must be a one to one relationship between the independent variable (usually represented by the horizontal or x axis) and the dependent variable (usually represented by the vertical or y axis). A line with undefined slope is a vertical line, so there are an infinite number of possibilities for y and only one possible value of x, so this is not a function.
What are the similarities between exponential linear and quadratic functions?
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
What is the Value measured by the vertical axis?
It is the value of the variable which is plotted on the vertical axis. It is likely to be the dependent variable.
How do you plot concentration against length in a graph?
It depends on which variable is independent, and which one is dependent (its value is determined by a function of the independent variable). So suppose that concentration is a function of an arbitrary length (the length is what determines concentration). The independent variable (length) is put on the horizontal axis, and the dependent variable (concentration) is put on the vertical axis.
How does the graph show that the quadratic is a function?
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
What is the value measured by the vertical axis called?
The value of the Y-axis, which is normally expressed as a function Y=f(x), is called the dependent variable, because a change in the value of X (the independent variable) will produce a concurrent change in the value of Y.Independent variable.
The responding variable is displayed on what axis?
By convention, the variable that is changed (the independent variable) is displayed along the horizontal or x-axis. The variable that is measured (the dependent variable) is plotted along the vertical or y-axis. A responding variable is a dependent variable and would go along the y axis
