Need ! It took him 49.17 s to finish the race. Answers: 1 Get Other questions on the subject: Mathematics. Then decide if the results from parts (a) and (b) are equivalent. f(x) translated up 2 would be f(x)+2 Write a rule for g. Write a rule for g. Answers: 1. continue. Where candidates attempted this question, part (a) was answered satisfactorily. b = 2, Indicates a horizontal compression by a factor of . For a horizontal stretch of 2, x 2 would become (x/2) 2. 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 … Examples of Horizontal Stretches and Shrinks . But do not divide outside of the parenthesis, it remains close to the X. Vertical Translations - add or subtract a factor to the end of the equation. The key concepts are repeated here. 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… you so much! Observe Figure 17. \end{array}} \right)\) then horizontal stretch of a scale factor of 2 [3 marks] d. Examiners report. A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). (b) Shift downward 5 un its, then stretch vertically by a factor of 2. k = −19, Indicates a translation 19 units down. a(i), (ii), (iii) and (iv). Given a function y = f(x), the form y = f(bx) results in a horizontal stretch or compression. Therefore it is a horizontal stretch by factor 2. i’m learning this in math and it’s soo. We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. can anyone help me with these questions? In 1985 Mat Biondi set a record for the men's 100 m freestyle event. A horizontal stretch by a factor of 2 would have what kind of effect on the graph? Consider the function y = x 2. The dotted graph is f(2x), compressed (shrunk) by a factor of 1/2 horizontally; the point (2, 4) moves to (1, 4), halving the value of x. The lesson Graphing Tools: Vertical and Horizontal Scaling in the Algebra II curriculum gives a thorough discussion of horizontal and vertical stretching and shrinking. Which equation represents an exponential function that passes through the point (2, 80)? The dashed graph is f(x/2), stretched by a factor of 2 horizontally; the point (2, 4) moves to (4, 4), doubling x. I first looked at the more natural vertical transformations from a new perspective: h = −8, Indicates a translation 8 units to the left. This question was the most difficult on the paper. New questions in Mathematics. Consider the following base functions, (1) f (x) = x 2 - 3, (2) g(x) = cos (x). 1 Given the function ) write the equation g(x) after the following transformations: horizontal stretch by the factor 2, vertical stretch by the factor 5 reflection in the y-axis translation 1 unit left and 3 units down Determine the domain and range of the transformed function. easy 6th grade work! (a) Stretch vertically by a factor of 2, then shift downward 5 units. Correct answers: 2 question: PLEASE HELP what is the rule of g for this: (The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of f(x)=8x^2−6) the vertex is (0,-4) Question 1049822: Let the graph of g be a horizontal shrink by a factor of 2/3, followed by a translation 5 units left and 2 units down of the graph of f(x)=x^2. The graphical representation of function (1), f (x), is a parabola.. What do you suppose the grap Yes, it's contrary to believe that a stretch should divide a factor, and a compression would multiply. Mathematics, 20.06.2019 18:04, evanwall91. The graph of y = 1 2 x 2 is a horizontal stretch of the graph of the function y = x 2 by a factor of 2. i will put as much points as i can! Example Problem 2: Start with the function f x x , and write the function which results from the given transformations.
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