Stretch by a factor of 2
WebCompressing and stretching depends on the value of a a. When a a is greater than 1 1: Vertically stretched When a a is between 0 0 and 1 1: Vertically compressed Vertical … WebHorizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit up c. Vertical compression by a factor of a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up 1 d.
Stretch by a factor of 2
Did you know?
WebTo find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch. Parent Function: f (x) = x f ( x) = x Horizontal Shift: None Vertical Shift: Down 4 4 Units Reflection about the x-axis: None Vertical Compression or Stretch: None WebIf you look at both of the equations of f (x) and g (x) you will notice that they both have the same horizontal translation and vertical translation than that of the parent function of x^2. The only change is that g (x) is a horizontal stretch by a factor of 2 than f (x).
WebWhen I subtract the 2, this is shifting the function to the right, which is a little bit counter-intuitive unless you go through this exercise right over here. So g of x is equal to f of x … WebWe can factor out a 2. f (x) = (2(x+2))2 f ( x) = ( 2 ( x + 2)) 2 Now we can more clearly observe a horizontal shift to the left 2 units and a horizontal compression. Factoring in this way allows us to horizontally stretch first and then shift horizontally. Combining Transformations
WebSep 18, 2024 · Stretching vertically by a factor of 2 gives y = 2x 2 = 2f (x). If we then shift downward by 5 units, an equation of the resulting graph is y = 2x 2 - 5 (or y = 2f (x) - 5). Finally, shifting rightward by 4 units, our equation becomes y = 2 (x-4) 2 -5. So, y = 2f (x-4) - 5. Upvote • 0 Downvote Add comment Report Still looking for help? 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
WebMar 21, 2024 · 1. Here we want to stretch the graph by a factor of 2. Since 2 > 1, we just need to multiply the whole function by 2. 2. Here we want to stretch the graph by a factor …
Webhorizontal stretch by a factor of 3. horizontal compression by a factor of 1/4. vertical shift 5 units down. vertical shift 6 units up. vertical stretch by a factor of 8. vertical compression by a factor of 1/9. reflection across the y-axis. reflection across the x-axis. Vertical stretch by 3. cleaners fort walton beachWebGraphing Stretches and Compressions of y = logb(x) y = log b ( x) When the parent function f (x) =logb(x) f ( x) = l o g b ( x) is multiplied by a constant a > 0, the result is a vertical stretch or compression of the original graph. To visualize stretches and compressions, we set a > 1 and observe the general graph of the parent function f (x ... downtown el paso tx restaurantsWebTo 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 ). Here are the graphs of y = f (x), y = 2f (x), and y = x. SparkNotes Plus subscription is $4.99/month or $24.99/year as selected … Get Annual Plans at a discount when you buy 2 or more! Quantity. Price. $24.99 … downtown embroidery and screen printWebHow To: Given a function, graph its vertical stretch. Identify the value of a a. Multiply all range values by a a. If a > 1 a > 1, the graph is stretched by a factor of a a. If 0 < a< 1 0 < a < 1, the graph is compressed by a factor of a a. If a < 0 a < 0, the graph is either stretched or compressed and also reflected about the x x -axis. cleaners for vinyl flooringWebb = 2, Indicates a horizontal compression by a factor of . h = −8, Indicates a translation 8 units to the left. k = −19, Indicates a translation 19 units down. Example 2: Write an equation for f(x) = after the following transformations are applied: vertical stretch by a factor of 4, horizontal stretch by a factor of 2, reflection in the y-axis, cleaners fort worth txWebWhen the function is stretched horizontally, we multiply the input values (for this case, it’s the values of x) by the given scale factor’s denominator. This means that (-2, -4) will be … cleaners fort wayneWebVertical Compression or Stretch: None Step 10 To find the transformation , compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x … downtown embroidery chicago