ALGEBRA 1 INTRO TO QUADRATICS TEST REVIEW
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1 Name: ate: Period: LGER 1 INTRO TO QURTIS TEST REVIEW (.9) I can identify the characteristics of the quadratic function from a graph, including axis of symmetry, vertex, y and x-intercepts and maximum or minimum. 1. What is the vertex of the quadratic function f(x) = x 2 + 4x 4? (0, 2) (0, 4) (2, 0) ( 4, 0) 2. What is the vertex of the quadratic function f(x) = x 2 6x + 9? (0, 3) (0, 3) ( 3, 0) (3, 0) 3. Two points on the graph of a quadratic function are shown on the grid below 4. Two points on the graph of a quadratic function are shown on the grid below What is the equation of the axis of symmetry of the graph of the function? x = 4 x = 3 x = 4 x = 3 What is the equation of the axis of symmetry of the graph of the function? x = 1 x = 6 x = 1 x = 6 (.2) I can identify the linear and quadratic parent functions. 5. The set of ordered pairs below represents some points on the graph of function f. What is the parent function of f? {(2, 4), ( 1, 2), (0, 2), ( 4, 10), ( 2, 0), (3, 10)} y = x y = 2 x y = x 2 y = x 6. The set of ordered pairs below represents some points on the graph of function f. What is the parent function of f? {(1, 6), ( 3, 30), (2, 0), (0, 12), (4, 12)} y = x y = 2 x y = x 2 y = x lgebra 1 Intro to Quadratics Test Review Page 1
2 Name: ate: Period: (.9,.10) I can identify the characteristics of the quadratic function from a graph, including axis of symmetry, vertex, y and x-intercepts and maximum or minimum. 7. The graph of a quadratic function is shown below 8. The graph of a quadratic function is shown below Which statement about this graph is not true? The graph has a y-intercept at (0, 0) Which statement about this graph is not true? The graph has a y-intercept at (0, 9) The graph has an axis of symmetry at x = 3 The graph has an x-intercept at ( 3, 0) The graph has an x-intercept at ( 6, 0) The graph has an axis of symmetry at x = 4 The graph has a maximum point at ( 3, 3) The graph has a minimum point at ( 3, 0) (.9) I can identify the reasonable domain and range of a situation modeled as a quadratic function. 9. f(x) = 8,100 x 2 models the number of bees in a hive over a period of months. The number of bees is declining. What is a reasonable domain and range for f(x)? x = all real y < 8,100 0 < x < 90 0 < y < 8, < x < 90 y < 8,100 x > 0 0 < y < 8, f(x) = 1,600 x 2 models the path of a skydiver before he opens his parachute. What is a reasonable domain and range for f(x)? 0 < x < 40 0 < y < 1,600 0 < x < 1,600 0 < y < 40 x = all real y < 1, < x < 40 y < 1,600 lgebra 1 Intro to Quadratics Test Review Page 2
3 Name: ate: Period: (.2) I can identify the reasonable domain and range of a situation modeled as a quadratic function. 11. The graph below shows the path of a sub. 12. The graph below shows a soccer ball s path. What is the range of this function? 0 y 80 0 y < y < 80 0 < y < 300 What is the range of this function? 0 < y < 10 0 < y < 8 0 y 10 0 y 8 (.10) I can find a value for x given the value for f(x) for a quadratic function on a graph or table. 13. The function y = x 2 + 4x 5 is graphed below 14. The function y = x 2 + 6x + 9 is graphed below What are the values of x when x 2 + 4x 5 = 5 x = 0 and x = 4 x = 1 and x = 3 x = 5 and x = 1 x = 0 and x = 6 What are the values of x when x 2 + 6x + 9 = 4 x = 3 x = 1 and x = 5 x = 8 x = 1 and x = 5 lgebra 1 Intro to Quadratics Test Review Page 3
4 Name: ate: Period: (.10) I can identify the solutions/roots/zeroes of a quadratic function. 15. table of values for the quadratic function f is shown. x f(x) table of values for the quadratic function f is shown. x f(x) If 2 is one solution to f(x) = 0, what is the value of the other solution? If 1 is one solution to f(x) = 0, what is the value of the other solution? Record your answer on the line below Record your answer on the line below Which of the graphs below represent an equation with roots of x = 2 and x = Which of the graphs below represent an equation with roots of x = 2 and x = 2. lgebra 1 Intro to Quadratics Test Review Page 4
5 Name: ate: Period: (.9) I can predict the changes to a graph when I change the a part of y = ax 2 + c 19. The graph of y =!! x! is shown below. 20. The graph of y = 4x! is shown below. If the coefficient of x! is changed from! to another! positive number to create a new function, how will the graph of the new function compare with the graph of the original function? If the coefficient of x! is changed from 4 to!! to create a new function, how will the graph of the new function compare with the graph of the original function? The x-intercepts of the new graph will be different than the x-intercepts of the original graph. The new graph will open in the opposite direction as the original graph. The vertex of the new graph will be different from the vertex of the original graph. The new graph will be wider or narrower than the original graph. The new graph will be wider than the original graph. The new graph will be narrower than the original graph. The new graph will open in the opposite direction as the original graph. The vertex of the new graph will be different from the vertex of the original graph. 21. How does the graph of y = 3x! differ from the graph of y =!! x!? 22. How does the graph of y = 2x! differ from the graph of y = 5x 2? The graph of y = 3x! is wider. The graph of y = 3x! is narrower. The vertex of the graph of y = 3x! is 7 units higher. The vertex of the graph of y = 3x! is 7 units lower. The vertex of the graph of y = 2x! is 3 units higher. The vertex of the graph of y = 2x! is 3 units lower. The graph of y = 2x! is wider. The graph of y = 2x! is narrower. lgebra 1 Intro to Quadratics Test Review Page 5
6 Name: ate: Period: (.9) I can predict the changes to a graph when I change the c part of y = ax 2 + c 23. How does the graph of y = x! 4 differ from the graph of y = x! + 3? 24. How does the graph of y = x! + 1 differ from the graph of y = x! + 5? 7 units below the graph of y = x! units to the right of the graph of y = x! units above the graph of y = x! units to the left of the graph of y = x! units to the left of the graph of y = x! units above the graph of y = x! units to the right of the graph of y = x! units below the graph of y = x! Which graph shows a function y = x! + c when c > 0? 26. Which graph shows a function y = x! + c when c = 0? lgebra 1 Intro to Quadratics Test Review Page 6
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