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What is the effect on the graph of the equation y equals x2 plus 2 when it is changed to y equals x2 - 4?

the graph is moved down 6 units


Which is the exponential form of log 8 x equals 3?

The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?


To shift the graph of an equation a certain number of units down you need to that number to from the functions equation?

subtract


What does increasing the constant c by 4 units in an equation of the form y ax2 c do to its graph?

I'm guessing that your equation is y = ax² + c (as there are limitations as to what punctuation, including mathematical symbols, can be put in a question). Increasing c by 4 units shifts the graph 4 units up the y-axis. If you equation was y = ax² - c, then increasing c by 4 units shifts the graph 4 units down the y-axis.


Translate two units down from the graph y equals the absolute value of x?

y = |x| - 2


How can you translate the graph of y equals x to obtain the graph of y equals x-4 plus 2?

y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.


If you wanted to shift the graph of y 4x plus 7 down which equation could you use apex?

To shift the graph of y = 4x + 7 down, you would subtract a constant from the equation. In this case, you would subtract 7 from the equation to shift it downward. The new equation would be y = 4x. This would shift the entire graph downward by 7 units along the y-axis.


If f(x) is the graph of f(x) translated down 2 units?

f(x) cannnot be a graph of itself translated down by anything other than 0 units.


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 slope for the equation y equals -2x plus 5?

The slope would be -2 (moving 2 units down and one across). When you have a linear equation, the slope is always the variable's coefficient.


How would you graph x equals 3 y equals -3?

6


What equation function for the shape y equals x2 but upside-down and shifted right 5 units?

-3