JEOPARDY Graphs of Quadratics Characteristics of Quadratics Projectiles
- Slides: 51
JEOPARDY Graphs of Quadratics Characteristics of Quadratics Projectiles/ Applications Quadratic Models $100 $100 $200 $200 $300 $300 $400 $400 $500 $500 Transformations
$100 Identify the vertex and axis of symmetry. Answer
$100 Answer
$200 Identify the x and y intercepts of the graph. Answer
$200 Answer
$300 Identify the vertex and state whether it is a minimum or maximum. Answer
$300 Answer
$400 Which graph matches the equation . A. C. B. D. Answer
$400 Answer
$500 Which of the following is true about the graph? A. The y-intercepts are (0, 0) & (2, 0). B. The range is y ≥ 1. C. The axis of symmetry is y=1. D. The a value for the equation of the graph is negative. Answer
$500 Answer D. The a value for the equation of the graph is negative.
$100 Which function represents the parabola with the narrowest graph? Explain your reasoning. A. B. C. D. Answer
$100 Answer •
$200 Identify where the function is increasing and decreasing. Answer
$200 Answer
$300 Identify the vertex. Answer
$300 Answer
$400 Identify the axis of symmetry. Answer
$400 Answer
$500 Identify the x-intercept(s). Answer
$500 Answer
$100 The height h of a ball t seconds after it is hit is given by the equation How high will the ball be 2 seconds after it is thrown? Answer
$100 Answer In 2 seconds, the ball will be 6 feet high.
$200 The height h of a ball t seconds after it is hit is given by the equation What is the maximum height of the ball? Answer
$200 Answer In 1 seconds, the ball will be a maximum height of 22 feet.
$300 The graph below shows the height h in feet of a soccer ball t seconds after it is dropkicked into the air. A. What does the h-intercept represent in this situation? B. What does the t-intercept represent in this situation? Answer
$300 Answer A. The initial height of the ball B. The time the ball hits the ground
$400 A woodland jumping mouse hops along a parabolic path given by y= -0. 2 x 2 + 1. 3 x, where x is the mouse’s horizontal distance traveled (in feet) and y is the corresponding height (in feet). Can the mouse jump over the fence that is 3 feet high? Justify your answer. Answer
$400 Answer No, the vertex of the graph is (3. 25, 2. 1125) which means the mouse cannot jump over a fence that is higher than 2. 1125 feet.
$500 A passenger on a stranded lifeboat shoots a distress flare into the air. The height (in feet) of the flare above the water is given by f(t) = -16 t(t-8), where t is the time (in seconds) since the flare was shot. The passenger shoots a second flare, whose path is modeled in the graph. Which flare travels higher? Answer
$500 Answer First Flare; its vertex is higher than the second flare’s vertex which means it traveled higher.
$100 Write an equation of the parabola in vertex form that passes through the point (4, -7) and has a vertex of (1, -6). Answer
$100 Answer
$200 Write an equation of the parabola in intercept form that has x intercepts of 12 and 8 and passes through the point (9, 5). Answer
$200 Answer
$300 Describe and correct the error in writing an equation of the parabola. Answer
$300 Answer
$400 A basketball is thrown up in the air toward the hoop. The table shows the heights y (in feet) of the basketball after x seconds. Find the height of the basketball after 5 seconds. Round your answer to the nearest hundredth. Answer
$400 Answer 9. 21 ft
$500 The graph shows the area y (in square feet) of rectangles that have a perimeter of 200 feet and a length of x feet. Write an equation for the parabola to predict the area of the rectangle when the length is 2 feet. Answer
$500 Answer
$100 Describe the transformation of f(x) = x 2. Answer
$100 Answer Translated 2 units left and one unit down.
$200 Describe the transformation of f(x) = x 2. Answer
$200 Answer Vertical stretch by a factor of 2, and reflected over the x-axis.
$300 Write a rule for g with the described transformations of the graph of f. vertical stretch by a factor of 3 and a reflection in the x-axis, followed by a translation 3 units down Answer
$300 Answer
$400 Write a rule for g with the described transformations of the graph of f. Horizontal stretch by a factor of 2 and a translation 2 units up followed by a reflection in the x-axis. Answer
$400 Answer
$500 Let the graph of g be a translation 6 units right and 8 units up, followed by a reflection in the x 2 axis of the graph f(x) = x - 4 x. Write a rule for g. Answer
$500 Answer