Chapter 1.2, Problem 6E

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Explain how each graph is obtained from the graph of y = f(x). (a) y = f(x) + 8 O hift the graph 8 units downward. O Shift the graph 8 units upward. O Shift the graph 8 units to the right. O Sretch the graph horizontally and vertically by a factor of 8. O Shift the graph 8 units to the left. (b) y = f(x + 8) O Shift the graph 8 units downward. O Sift the graph 8 units to the right. O Shift the graph 8 units upward. O Stretch the graph horizontally and vertically by a factor of 8. O Shift the graph 8 units to the left. (c) y = 8f(x) O Stretch the graph vertically by a factor of 8. O Stretch the graph horizontally and vertically by a factor of 8. O hrink the graph horizontally by a factor of 8. O Shift the graph 8 units upward. O Sift the graph 8 units to the left. (d) y = f(8x) O Shift the graph 8 units upward. O hift the graph 8 units to the left. O Stretch the graph horizontally and vertically by a factor of 8. O hrink the graph horizontally by a factor of 8. O Stretch the graph…

7 5. y = -(x-4)(x + 2) Up or down Vertex: Axis of symmetry: Domain: a. X b. Y Range: C. What is the football's maximum height? 6. y= (x + 1)(x + 7) Up or d. How far is the ball kicked? Vertex: down Axis of symmetry: 7. The path of a placekicked football can be modeled by the function y = -0.026x² + 1.196x, where x is the horizontal distance (in yards) and y is the corresponding height (in yards). Sketch a graph of the function. e. State an appropriate domain and range to the situation. X How high is the ball when it is 10 yards from where it was kicked? Domain: Y Range:

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5. Which graph below represents the function f(x) = (x - 2)(x +1)(x + 2)? Explain your answer. Graph A Graph B

Graph the function: compare the graph to the graph of f(x)=|x|. Describe the domain and range

2. Tell whether or not each function is increasing or decreasing, and give the domain, range, and y-intercept of the function. a. y= 4 b. y= -3(4)* Increasing or Decreasing Increasing or Decreasing Domain - Domain - Range - Range - y-intercept - y-intercept -

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