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How do you find the vertex of an absolute value function?
There are three main types of vertices for an absolute value function. There are some vertices which are carried over from the function, and taking its absolute value makes no difference. For example, the vertex of the parabola y = 3*x^2 + 15 is not affected by taking absolute values. Then there are some vertices which are reflected in the x-axis because of the absolute value. For example, the vertex of the absolute value of y = 3*x^2 - 15, that is y = |3*x^2 - 15| will be the reflection of the vertex of the original. Finally there are points where the function is "bounced" off the x-axis. These points can be identified by solving for the roots of the original equation. -------------- The above answer considers the absolute value of a parabola. There is a simpler, more common function, y = lxl. In this form, the vertex is (0,0). A more general form is y = lx-hl +k, where y = lxl has been translated h units to the right and k units up. This function has its vertex at (h,k). Finally, for y = albx-hl + k, where the graph has been stretched vertically by a factor of a and compressed horizontally by a factor of b, the vertex will be at (h/b,ak). Of course, you can always find the vertex by graphing, especially since you might not remember the 2nd or 3rd parts above.
When you find the value of a variable you solve or check an equation?
when you find the value, you SOLVED the equation. you CHECK the equation when you substitute the value in the variables place and check that the equation is true.
What does the graph of the equation 2x-3y equals 6 look like?
The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph
Can you solve for a variable in an equation?
Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.
Does a solution to an equation make the equation true or false?
A solution to an question makes the equation true. For example a solution to the equation 3x = x + 6 is x = 3, since 3(3) = 3+6.
What equation takes the y equals the absolute value of x and compresses it vertically by a factor of 0.5?
y = 0.5 |x|
If you vertically compress the absolute value parent function f(x) x by a factor of 3 what is the equation of the new function?
f(x) = |f(x)|/3
If you vertically stretch the absolute value parent function f(x) x by a factor of 3 which of these is the equation of the new function?
It is f(x) = 3|x|.
What are the characteristics of an absolute value equation?
Mainly that somewhere in the equation there is an absolute value, usually of an expression that involves the variable.
What is an absolute personal equation?
An absolute personal equation is the difference between an observed value and a standard value assumed as being true.
What does absolute value inequality mean?
It is an equation used to anwer an absolute value inequality.
What do you call a V-shape on a graph?
That is a result of an absolute value equation. So an Absolute Value Graph
In math what is an absolute equation?
Firstly, we have to look at what the word absolute implies first. Absolute value can be represented as either lxl or abs(x). The word absolute means that for any number or equation it is positive. e.g. l-7l = 7. OR l3l = 3. Back to your question, since u just ask what is an absolute equation, i would not go through how to solve and graph them because its just too complicated at this stage. Absolute equation can be in the form of; lx-3l = 4 l4-xl > l5+xl <=== This is an inequality. lx+3l = l1+2xl
How many solutions do absolute value equations have?
An equation with absolute values instead of simple variables has twice as many solutions as an otherwise identical equation with simple variables, because every absolute value has both a negative and a positive counterpart.
What is the corner point of a graph of an absolute value equation?
It is sometimes the point where the value inside the absolute function is zero.
When is there no solution possible to an absolute value equation and why?
For example: | x | = -1 Or any other equation where the absolute value of any expression is negative. This doesn't have a solution, because the absolute number of any expression is always positive, or zero, never negative.
What equation takes the y equals x and compresses it vertically by a factor of 0.5?
y = 0.5 x
