WebWhen we stretch a graph horizontally, we multiply the base function’s x-coordinate by the given scale factor’s denominator to find the new point lying along the same y-coordinate. Hence, we have (6, 4) → (2 ∙ 6, 4). The new x-coordinate of the point will be (12, 4). Example 4 The table of values for f (x) is shown below. WebVertical stretch and reflection The graph of y=ax² can be stretched by changing the value of a; in addition, a negative value of a will reflect the curve along the x-axis. Exercise: Vertical Stretch of y=x² The graph of y=x² is shown for reference as the yellow curve and this is a particular case of equation y=ax² where a=1.

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Web1. Stretch vertically by a factor of 4: Multiply the current f(x) (i.e. y) by 4 f(x) = 4* x 2. Reflect about the x-axis: Replace the current f(x) (i.e. y) with its opposite/negative f(x) = -(4* x ) = … WebLet f(x) be a function whose graph is obtained from the graph of y=x+4x2+9 stretched vertically by a factor 6 and shifted 2 units to the right. Then, find f(4) Question: Let f(x) be a function whose graph is obtained from the graph of y=x+4x2+9 stretched vertically by a factor 6 and shifted 2 units to the right. Then, find f(4) portland oregon shelters homeless

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WebSo to stretch the graph horizontally by a scale factor of 4, we need a coefficient of 1 4 1 4 in our function: f (1 4 x). f (1 4 x). This means that the input values must be four times larger … Web2. ) (𝑥= 𝑥 a vertical compression by a factor of 1 4, then a horizontal shift left 5 and a vertical shift down 3. 3. ( 𝑥)=𝑥3 a reflection over the x-axis, shift to the right 1 and down 1. 4. ) (𝑥=√𝑥 A vertical stretch by a factor of 5, horizontal shift right 7 and vertical shift down 3 5. optimizing box weight amazon