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1. List the intercept(s) of the following equation. y = x2 - 4 Select the correct choice below and. if necessary, ll in the answer
1. List the intercept(s) of the following equation. y = x2 - 4 Select the correct choice below and. if necessary, ll in the answer box to complete your choice. 0 A. The intercept(s) islare |:| (Type ordered pairs. Use a comma to separate answers as needed.) 0 B. There are no intercepts. 2. Fill in the blanks. To graph y= (x 4)2. you shift the graph of y = x2 to the a distance of_ units. To graph y= (x 4)2. you shift the graph of y = x2 to the (1 ) a distance of |:| units. (Type an integer or a decimal.) (1) 0 left 0 right 3. Complete the sentence below. The vertical line passing through the vertex of a parabola is called the The vertical line passing through the vertex of a parabola is called the (1) axis of symmetry. y-axis. x-axis. intercept. OOOO 4. Decide whether the following statement is true or false. The graph of f(x) = 4x2 + 5x 7 opens up. Choose the correct answer below. 0 True O False 5. Match each graph to one of the following functions. Select the function for each graph from the given options. Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph. 14. 15. 16. 13. 6. (a) Find the vertex and axis of symmetry of the quadratic function. (b) Determine whether the graph is concave up or 20- concave down. (c) Graph the quadratic function. f(x) = (x-6)2 +4 (a) The vertex is (Type an ordered pair.) The axis of symmetry is (Type an equation.) -20 16 12 8 112 20 (b) The graph is concave (1) (c) Use the graphing tool to graph the function. (1) O down. O up.7. Graph the function f(x) = (x + 5)2 - 2 by starting with the graph + of y = x2 and using transformations (shifting, stretching/compressing, and/or reflecting). Use the graphing tool to graph the function. X -10 -8 6 4 N- 6 8 763- For the quadratic function f(x) = x2 + 8x, answer parts (a) through (c). (a) Graph the quadratic function by determining whether its graph opens up or down and by nding its vertex, axis of symmetry. y- intercept, and x-intercepts, if any. Does the graph of f open up or down? 0 Up 0 down What are the coordinates of the vertex? The vertex of the parabola is |:|. (Type an ordered pair. Use integers or fractions for any numbers in the expression.) What is the equation of the axis of symmetry? The axis of symmetry is |:|. (Type an equation.) What islare the x-intercept(s)? Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. The x-intercept(s) islare |:|. (Type an integer or a decimal. Use a comma to separate answers as needed.) 0 B. There are no x- intercepts. What is the y-intercept? Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. The y-intercept is |:|. (Type an integer or a decimal.) O B. There is no y-intercept. Use the graphing tool to graph the function. (h) Determine the domain and the range of the function. The domain of f is |:|. (Type your answer in interval notation.) The range offis |:|. (Type your answer in interval notation.) (c) Determine where the function is increasing and where it is decreasing. The function is increasing on the interval |:|. (Type your answer in interval notation.) The function is decreasing on the interval |:|. (Type your answer in interval notation.)
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