WebTo stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). … WebHorizontal Stretch and Shrink of a Function By multiplying the input of a function by a positive number b, its graph can be horizontally stretched or shrunk . y = f (b * x) If b > 1, every input value will be changed as though it was farther away from the y …
4.2: Graphs of Exponential Functions - Mathematics LibreTexts
WebQuestion: Which function represents a vertical translation of 7 units down, a horizontal translation of 8 units right, a horizontal stretch by a factor of 5, no reflection in the y-axis, a vertical stretch by a factor of 6, and no reflection in the x-axis, when compared to the base function fx) = loggx. Weby-axis, a horizontal stretch from the y-axis by a factor of as well as a horizontal translation 4 units right and a vertical translation 5 units down. Note that the equation can be simplified to The stretches and reflections are replaced by a reflection in the x-axis and a vertical stretch by a factor of 4. The translations remain the same. byford sports club
What is the reasoning behind the way we describe function stretching …
WebHorizontal stretch by a factor of 9 Vertical stretch by a factor of 9 Horizontal shrink by a factor of one-ninth Vertical shrink by a factor of one-ninth How can I calculate this please sorry for bother you . Expert's answer. If we take x=0 we obtain that g(x)=1 and f(x)=9. So, we see that f(x)=9g(x ... WebHorizontal Translation and Dilation of a Function. I have a function of the form y = ax/ (x+b). Note: this function is easier to look at when the x axis is log scale. I need to dilate (stretch) the function by a factor r along the x-axis, but the center of dilation happens to be b. I was led to believe that dilation not centered at the origin ... Web21 jun. 2024 · - A horizontal stretching is the stretching of the graph away from the y-axis - If 0 < k < 1 (a fraction), the graph of y = f (k•x) is f (x) horizontally stretched by dividing each of its x-coordinates by k. - If k should be negative, the horizontal stretch or shrink is followed by a reflection in the y-axis * Lets solve the problem ∵ G (x) = sin x byfords rayleigh