Characteristics of Quadratics Projectiles/ Applications JEOPARDY Graphs of Quadratics Characteristics of Quadratics Projectiles/ Applications Quadratic Models Transformations $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

Identify the vertex and axis of symmetry. $100 Identify the vertex and axis of symmetry. Answer

$100 Answer

Identify the x and y intercepts of the graph. $200 Identify the x and y intercepts of the graph. Answer

$200 Answer

Identify the vertex and state whether it is a minimum or maximum. $300 Identify the vertex and state whether it is a minimum or maximum. Answer

$300 Answer

Which graph matches the equation . $400 Which graph matches the equation . A. C. B. D. Answer

$400 Answer

Which of the following is true about the graph? $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

D. The a value for the equation of the graph is negative. $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 D The 𝑎 is the greatest. The larger the value of 𝑎, the more narrow the graph.

Identify where the function is increasing and decreasing. $200 Identify where the function is increasing and decreasing. Answer

$200 Answer

$300 Identify the vertex. Answer

$300 Answer (−1, 5)

Identify the axis of symmetry. $400 Identify the axis of symmetry. Answer

$400 Answer

Identify the x-intercept(s). $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

In 2 seconds, the ball will be 6 feet high. $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

In 1 seconds, the ball will be a maximum height of 22 feet. $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 drop-kicked 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 The initial height of the ball The time the ball hits the ground

$400 A woodland jumping mouse hops along a parabolic path given by y= -0.2x2 + 1.3x, 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) = -16t(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

Describe and correct the error in writing an equation of the parabola. $300 Describe and correct the error in writing an equation of the parabola. Answer

$300 Answer The two given sets of coordinates were not substituted into the correct places. 𝑦=𝑎 (𝑥−ℎ) 2 +k −7=𝑎 1−3 2 −5 −7=𝑎(4)−5 −2=4𝑎 − 1 2 =𝑎 𝑦=− 1 2 𝑥−3 2 −5

$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

Describe the transformation of f(x) = x2. $100 Describe the transformation of f(x) = x2. Answer

Translated 2 units left and one unit down. $100 Answer Translated 2 units left and one unit down.

Describe the transformation of f(x) = x2. $200 Describe the transformation of f(x) = x2. Answer

Vertical stretch by a factor of 2, and reflected over the x-axis. $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-axis of the graph f(x) = x2 - 4x. Write a rule for g. Answer

$500 Answer 𝑔 𝑥 =− 𝑥 2 +16𝑥−68