WebOct 23, 2024 · Example 2. Write the expressions for g (x) and h (x) in terms of f (x) given the following conditions: The function g (x) is the result of f (x) being stretched horizontally by a factor of 1/5. b. When we horizontally stretch g (x) by a scale factor of 1/2, we obtain h (x). Solution. Let’s start with g (x). WebMar 27, 2024 · Example 6. Identify the function and sketch the graph of \(\ y=\sqrt{x}\) reflected over both axes. Solution. To reflect the graph of \(\ y=\sqrt{x}\) over both axes, the function must be negated both outside and inside the root: \(\ y=-\sqrt{-x}\). The negation (negative) outside of the root has the effect of reflecting the graph vertically, and the …
How to Change the Amplitude, Period, and Position of a ... - dummies
WebHow To: Given a description of a function, sketch a horizontal compression or stretch. Write a formula to represent the function. Set g(x) = f (bx) g ( x) = f ( b x) where b> 1 b > 1 for a compression or 0 < 1 0 < b < 1 for a stretch. Example: Graphing a Horizontal Compression WebMar 26, 2016 · When you apply a horizontal transformation to a parent graph, you are stretching or shrinking the graph horizontally, along the x- axis. A number multiplying a variable inside a function affects the horizontal position of the graph — a little like the fast-forward or slow-motion button on a remote control, making the graph move faster or … small word puzzles
What is a horizontal stretch and shrink? - Our Planet Today
WebMar 26, 2016 · All horizontal transformations, except reflection, work the opposite way you’d expect: Adding to x makes the function go left. Subtracting from x makes the function go … WebPutting all the above terms together, we get the following equation. Y= asin (b (x-c))+d OR. y= acos (b (x-c))+d. Using key points to sketch a curve: To sketch the basic sine and cosine functions by hand it helps to note five key points in one period. These key points are : intercepts, maximum and minimum points. WebHorizontal Stretch/Shrink. Loading... Horizontal Stretch/Shrink. Loading... Untitled Graph. Log InorSign Up. 1. 2. powered by. powered by "x" x "y" y "a" squared a 2 "a" Superscript, "b … hil01