<p>Algebra 2 Name ______Review – Unit 2</p><p>For Exercises 1 – 3, choose the graph that describes the transformation of f(x) = x2.</p><p>1) g(x)  (x  4) 2 A) B) C) </p><p>2) g(x)  (x  3) 2  2 A) B) C) </p><p>3) g(x)  3(x  2)2 1 A) B) C) </p><p>Write a rule for g and identify the vertex. 2 4) Let the graph of g be a vertical shrink of 3 , followed by a translation 5 units left and 2 units down of the graph of f (x)  x 2 . Equation: ______Vertex: ______</p><p>5) Let the graph of g be a reflection in the x-axis, followed by a translation of 3 units right of the graph of f (x)  x 2 .</p><p>Equation: ______Vertex: ______In Exercises 6-9, graph the function. Label the vertex and line of symmetry.</p><p>6) f (x)  2x 2  5 7) f (x)  x 2  2x  4</p><p>Vertex: ______Vertex: ______</p><p>Line of Sym. ______Line of Sym. ______</p><p>8) f (x)  3(x  4)2  4 9) f (x)  x 2  2x 1</p><p>Vertex: ______Vertex: ______</p><p>Line of Sym. ______Line of Sym. ______</p><p>Find the maximum or minimum value of the function. Describe the domain and range of the function, and where the function is increasing and decreasing.</p><p>10) f (x)  3(x 1) 2  4 Vertex ______Line of Symmetry ______</p><p>Max or Min ______Value ______</p><p>Domain: ______Range ______Increasing ______Decreasing ______</p><p>11) f (x)  2x 2 16x  3 Vertex ______Line of Symmetry ______</p><p>Max or Min ______Value ______</p><p>Domain: ______Range ______Increasing ______Decreasing ______12) f (x)  (x  3)(x  7) Vertex ______Line of Symmetry ______</p><p>Max or Min ______Value ______</p><p>Domain: ______Range ______Increasing ______Decreasing ______</p><p>Label the x-intercepts, vertex, and axis of symmetry.</p><p>13) f (x)  (x  3)(x  3) 14) f (x)  3(x  2)(x  6) 15) f (x)  4x(x  7) x-int. ______x-int ______x-int ______vertex ______vertex ______vertex ______ax. of sym. ______ax. of sym. ______ax. of sym ______</p><p>16) The height of a bridge is given by y  .002x 2  x 105.4 , where y is the height of the bridge (in meters) and x is the number of meters from the base of the bridge.</p><p> a) How far from the base of the bridge does the maximum height occur? ______</p><p> b) What is the maximum heightof the bridge? ______</p><p>17) The table shows the height y of a dropped object ater x seconds. Time (sec) x 0 0.5 1 1.5 2 2.5 Height (ft) y 150 146 134 144 86 50</p><p> a) Use the regression feature on your calculator to find a function to model the data (round the nearest tenth).</p><p> b) What is the height of the object after 2.75 seconds?</p><p>Write the equation of the parabola in vertex form. 18) Vertex: (2, -3) and passes through (6, 4) 19) x-int of 10 and 6; passes through (11, 8)</p><p>20) </p><p>21) Use the graph. The x and y intercepts have been plotted for you.</p><p>The x-intercepts of a parabola are (-2, 0) and (4, 0).</p><p>The y-intercept of a parabola is (0, -16). </p><p> a) If the minimum value of the parabola is -18, what is the vertex of the parabola? </p><p> b) Find the value of “a”.</p><p> c) Write the equation in vertex form. </p>