Weby= x : a shift left 7 units, then a vertical stretch by a factor of 2 , and finally a shift down 3 units; Question: y= x : a shift left 7 units, then a vertical stretch by a factor of 2 , and finally a shift down 3 units WebView the full answer. Step 2/2. Final answer. Transcribed image text: The graph of the function f (x) = log5(x) is stretched vertically by a factor of 2 , shifted to the right by 5 units, and shifted up by 3 units. Write the equation of the function g(x) described above. Provide your answer below: g(x) =.
SOLUTION: The graph of y = x^2 is stretched vertically by a factor …
WebWhen we stretch a function vertically, we multiply the base function by its scale factor. Hence, we have g (x) = 3 · f (x). Let’s make sure to distribute 3 to each of the term in f (x). … WebIt's like f (x)=x-3 except the 3 is inside absolute value brackets. The only difference is that you will take the absolute value of the number you plug into x. Remember that x just represents an unknown number. To find f (x) (you can think of f (x) as being y), you need to plug a number into x. f (x)= x -3 x=-2 Plug -2 into x -2 -3 maison scotch skirt
When Stretching By Factor Of 3 What Does That Mean? (Solution)
WebThus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 3, and the equation of a function stretched horizontally by a factor of 2 and then shifted 3 units right is y = f ((x - 3)) = f (x - ) . Example: f (x) = 2x2. WebConsider the graphs of the functions. shown in Figure259, and Figure260. We will compare each to the graph of y = x2. y = x 2. Compared to the graph of y = x2, y = x 2, the graph of f(x)= 2x2 f ( x) = 2 x 2 is expanded, or stretched, vertically by a factor of 2. 2. The y y -coordinate of each point on the graph has been doubled, as you can see ... WebThe reason why dividing the input x by 4 stretches the graph of y = x^3 horizontally by a factor of 4 is because the input x determines the "position" on the x-axis where the function is evaluated, and any change in the input value produces a proportional change in the output value of the function. In other words, if we divide the input x by 4 ... maison scotch size guide