Name: _________________________________ Common Core Algebra 9H Date: ___________ Group Work Aims 59-63 1) Find the key features for the graphs of the quadratic functions below. x - intercepts y- intercepts axis of symmetry vertex vertex a min or max? Sign of leading coefficient increasing interval decreasing interval Find average rate of change For interval [2,4]: For interval [-2,1]: 2) Determine the axis of symmetry and vertex algebraically for the quadratic functions. a. y = -2x2 + 24x -100 b. y = -x2 – 2x - 1 3) Identify the key features: x-intercepts, y-intercept, and vertex. Choose and label an appropriate scale for each axis and graph the function: f(x) = (3x + 4)(x – 5) 4) Identify whether the following functions have a max or min and then find the ordered pair that represents the max or min (the vertex). a. y = -3(x – 11)2 – 12 b. f(x) = x2 + 8x + 66 5) Melissa graphed the equation y = x2 and Dave graphed the equation y = -3x2 on the same coordinate grid. Compare these two graphs. 6) If x = -3 is an equation of the axis of symmetry of the graph y = x2 + kx + 13, what is the value of k? Solve algebraically. 7) State the equation of the axis of symmetry and the coordinates of the vertex of the parabola graphed below. 8) Which equation defines the graph in the diagram? (1) y = x2 + 6x + 1 (3) y = x2 + 3x (2) y = -x2 + 6x + 1 (4) y = -x2 + 3x - 1 9) Draw the axis of symmetry of the parabola shown in the diagram below. What is the equation of this axis of symmetry? 10) Graph the function y = -x2 + 10x + 3 by identifying the vertex, y-intercept, and x-intercepts. Round to the nearest tenth for the x-intercepts. 11) Rewrite the function f(x) = x2 – 4x - 1 in vertex form. Identify the vertex, axis of symmetry, end behavior, max or min, y-intercept, and x-intercepts. Leave your x-intercepts in both simplest radical form and rounded to the nearest tenth. Graph the function.
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