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When you shift the graph of an equation left or right does every instance of x in the equation changes?
Yes. For example, if you want to shift the graph 5 units to the right, you must replace every instance of "x" by "x-5".
When you shift the graph of an equation up or down does every instance of x in the equation change?
Yes, for example if you have y=x but you shifted the equation up 3 units hence: y=x+3. than you will receive a different y from every instance (point) of x. Reference: collegemathhelper.com/2015/11/horizontal-graph-transformations-for.html
What are the steps for writing the equation of a function from a graph?
1. Decide if the graph looks like any standard type of graph you've seen before. Is it a type of sine or cosine? A quadratic? A circle or ellipse? A line? An exponential? (You get the idea.) If you can't find a standard type to match your desired graph, pick one that looks close to it and recognize that you will be doing an approximation to your function.2. Once you have an idea of what you're graph should be like, think about the equations that are used to describe that graph. Where do the numbers go and how do they affect how the graph looks/moves/ behaves? Some functions, such as circles, hyperbolas, and quadratics, have standard equations with variables based on the important features of the graph (such as the center, maximums or minimums).3. Find the important and/or interesting parts of the graph and use them in the equation. As stated before, ellipses and such have special equations to describe them. Sines and cosines require the amplitude, frequency, and phase shift.4. Check your equation if you can. It's always good to plug a few of the points that are in your graph to make sure your equation is accurate. It's especially good to try out points you did NOT use to find your equation. If it works for these, then you probably did it right.
Is f(x) shifted downward a units?
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
What is the transformation from the parent function fx equal x to g when gx equal x plus 21?
at first draw the graph of fx, then shift the graph along -ve x-axis 21 unit
To shift the graph of an equation a certain number of units up you need to that number to from the function's equation?
Add
To shift the graph of an equation a certain number of units down you need to that number to from the functions equation?
subtract
When you shift the graph of an equation left or right every instance of x in the equation stays the same?
FALSE
When you shift the graph of an equation left or right does every instance of x in the equation changes?
Yes. For example, if you want to shift the graph 5 units to the right, you must replace every instance of "x" by "x-5".
Which way does a graph shift if you subtract that number from each x in the equation?
it shifts to the rightt!
How do you shift the graph of a equation some number of the units to the you add that number to each x in the equation?
Subtract that number from. Your welcome dumb
What can shift a quadratic graph horizontally?
If the equation is a(x-n)2+c, c causes the vertical shift. By setting the part in parenthesis, x-n, equal to 0, you can find the horizontal shift (x-n=0). I hope this helped :)
What happens to the graph of y equals x when the equation changes to y equals x 9?
The line y = x will shift up when you add a value to x and shift down when you subtract a value from x.
How to find the equation of a sine wave?
To find the equation of a sine wave, you need to know the amplitude, period, and phase shift of the wave. The general form of a sine wave equation is y Asin(B(x - C)), where A is the amplitude, B is the frequency (related to the period), and C is the phase shift. By identifying these values from the given information or graph, you can write the equation of the sine wave.
When you shift the graph of an equation up or down does every instance of x in the equation change?
Yes, for example if you have y=x but you shifted the equation up 3 units hence: y=x+3. than you will receive a different y from every instance (point) of x. Reference: collegemathhelper.com/2015/11/horizontal-graph-transformations-for.html
How do you graph a parabola on a TI 84 calculator?
hit Y= hit X,T,O,n hit X2 hit graph so you have put y = x2 into your equations window then graphed it you can change the graph around: to put graph up x amount, plug in a c value. ex: (x^2)+2. that will make the graph shift 2. if you want it the shift sideways. add the translation amount to every x. ex: 4x^2+3x+6 would be 4(x+2)^2+3(x+2)+6 to shift the parabola 2 to the side. a b value ( B(X) ) shifts the graph
What is the significance of a shift to the left in a graph or data set?
A shift to the left in a graph or data set indicates a decrease or a negative change in the values being represented. It can signify a decrease in a variable or a shift towards lower values.
