F x x + 2 vertical stretch by a factor of 5
WebSep 11, 2024 · Stretch vertically by a factor of 2: y = 2x 2 Then, reflect across the x-axis: y = -2x 2 Then, translate four units leftward: y = -2 (x+4) 2 Then, translate three units upward: y = -2 (x+4) 2 + 3 Upvote • 1 Downvote Add comment Report Still looking for help? Get the right answer, fast. Ask a question for free Get a free answer to a quick problem. WebWrite an equation whose graph is g(x) 1. f(x) = x2 a vertical stretch by a factor of 2, then a shift right 2 and up 5 2. ) (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 …
F x x + 2 vertical stretch by a factor of 5
Did you know?
Webf ( x ) = 8 x ^ { 2 } - 6; f (x) = 8x2 − 6; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis. Explanation Verified Reveal next step Reveal all steps Create a free account to see explanations Continue with Google Continue with Facebook Sign up with email Already have an account? Log in WebHorizontal And Vertical Graph Stretches And Compressions (Part 1) The general formula is given as well as a few concrete examples. y = c f (x), vertical stretch, factor of c. y = (1/c)f (x), compress vertically, factor of c. y = f (cx), compress horizontally, factor of c. y = f (x/c), stretch horizontally, factor of c.
WebStretch f vertically by a factor of 2, and then shift f up 3 units: 2f (x) + 3 = 2(2x 2) + 3 = 4x 2 + 3. Shrink f horizontally by a factor of 5, and then shift f right 2 units: f (5(x - 2)) = 2(5(x - 2)) 2 = 2(25)(x - 2) 2 = 50(x - 2) 2. Stretch f vertically by a factor of 3, stretch f horizontally by a factor of 6, and shift f down 2 units: 3f ... WebSep 30, 2024 · First, consider that the standard form for the quadratic function is f (x)=a (x-h) 2 +k, where a is the vertical stretch/orientation factor, h represents the horizontal translation, and k represents the vertical translation. Therefore, the standard form for the equation f (x)=x 2 is actually f (x)=1 (x-0) 2 +0.
http://www.biology.arizona.edu/biomath/tutorials/transformations/verticalstretchesshrinks.html WebStudy with Quizlet and memorize flashcards containing terms like Vertical shrink by a factor of 2/3, vertical stretch by a factor of 6, Horizontal shrink by a factor of 2/3 and more.
Webf (x) = x + 5 − 2 f ( x) = x + 5 - 2. The parent function is the simplest form of the type of function given. g(x) = x g ( x) = x . The transformation from the first equation to the …
WebThe vertical shift depends on the value of k k. The vertical shift is described as: f (x) = f (x)+k f ( x) = f ( x) + k - The graph is shifted up k k units. f (x) = f (x)−k f ( x) = f ( x) - k - … paramount website canadaWebSep 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). … paramount website yellowstoneWebAug 26, 2024 · The rule for g (x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is Your question is not complete, it seems to be missing the following information below; "If f (x) = x², write the rule for g (x)" The general rules for the translation of a function is given below; paramount weddingWebSep 11, 2024 · Stretch vertically by a factor of 2: y = 2x 2 Then, reflect across the x-axis: y = -2x 2 Then, translate four units leftward: y = -2 (x+4) 2 Then, translate three units … paramount welding supply amarillo txWebConsider 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 ... paramount websterWebJun 21, 2024 · - A vertical stretching is the stretching of the graph away from the x-axis - If k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k. - If k should be negative, the vertical stretch is followed by a reflection across the x-axis paramount wellness coloradoWebAlso, a vertical stretch/shrink by a factor of k means that the point ( x, y) on the graph of f ( x) is transformed to the point ( x, ky) on the graph of g ( x ). Examples of Vertical Stretches and Shrinks Consider the following base functions, (1) f ( x) = x2 - … paramount well service