Worksheet: Transformations of Quadratic Functions Multiple Choice Identif the choice that best completes the statement or answers the question.. Which correctl identifies the values of the parameters a, h, and k for the function. What is the equation of this graph? 6 7 8 x 6 7 8. Which function includes a translation of units to the left?. Which equation shows a translation of left and vertical compression b a factor of to the graph of?. Joanne hit a ball straight up into the air. The height of the ball in metres, is given b the function t seconds after the ball is hit. In how man seconds will the ball hit the ground? a. c. 9 b. 6 d. 6. Kevin threw a ball straight up with an initial speed of 0 metres per second. The function describes the ball s height, in metres, t seconds after Kevin threw it. What are the coordinates of the vertex? (0, ) 7. Which equation describes a parabola that opens downward, is congruent to, and has its vertex at (0, )?
8. List the sequence of steps required to graph the function a. horizontal translation units to the right, vertical compression b a factor of, vertical translation 6 units down b. horizontal translation units to the right, reflection in x-axis, vertical translation 6 units down c. horizontal translation units to the left, vertical translation 6 units up, reflection in x-axis d. horizontal translation units to the left, reflection in x-axis, vertical translation 6 units down 9. Which function matches the graph? x 0. Consider a parabola P that is congruent to, opens upward, and has vertex. Now find the equation of a new parabola that results if P is reflected in the x-axis and translated units down.. The graphs of and another parabola are shown below. What is a possible equation for the second parabola?
=x =? x Short Answer. The graph of f(x) is shown below. Graph the transformed functions in the same set of axes. x. Name a function to describe each graph. GRAPH A
f(x) =? f(x)=x^ x GRAPH B f(x)=x^ g(x)=? x. How does the shape of the graph of compare with the graph of? Explain.. The net annual income of an engineer in Barr s compan can be modelled b, where x is the age of the engineer and. What is the axis of smmetr? 6. Sketch the final graph of the function, Problem 7. A parabola that opens downward has its vertex at (, 0) and a -intercept at (0, 9) The parabola is congruent to the parabola described b the function a) What is the equation of the function? b) Draw a graph of the function using ke points. c) What is the axis of smmetr?
d) What are the values of the parameters a, h, and k? Worksheet: Transformations of Quadratic Functions Answer Section MULTIPLE CHOICE. ANS: C PTS: REF: Knowledge and Understanding OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: D PTS: REF: Knowledge and Understanding OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: A PTS: REF: Knowledge and Understanding OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: D PTS: REF: Knowledge and Understanding OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: B PTS: REF: Application OBJ:. - Graphing Quadratic Functions b Using Transformations 6. ANS: B PTS: REF: Application OBJ:. - Graphing Quadratic Functions b Using Transformations 7. ANS: B PTS: REF: Knowledge and Understanding OBJ:. - Graphing Quadratic Functions b Using Transformations 8. ANS: D PTS: REF: Communication OBJ:.6 - Using Multiple Transformations to Graph Quadratic Functions 9. ANS: B PTS: REF: Knowledge and Understanding OBJ:.6 - Using Multiple Transformations to Graph Quadratic Functions 0. ANS: C PTS: REF: Knowledge and Understanding OBJ:.6 - Using Multiple Transformations to Graph Quadratic Functions. ANS: A PTS: REF: Application OBJ:.6 - Using Multiple Transformations to Graph Quadratic Functions SHORT ANSWER. ANS: x PTS: REF: Knowledge and Understanding
OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: Answers ma var. For example: Graph A: Graph B: PTS: REF: Thinking OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: compressed verticall b a factor of and reflec- The shape of the graph is the same as the graph of ted verticall. PTS: REF: Communication OBJ:. - Graphing Quadratic Functions b Using Transformations. ANS: PTS: REF: Application OBJ:. - Graphing Quadratic Functions b Using Transformations 6. ANS: 9 8 7 6 x 6 7 8 9 PTS: REF: Knowledge and Understanding OBJ:.6 - Using Multiple Transformations to Graph Quadratic Functions PROBLEM 7. ANS: a)
6 7 x 6 7 b) c) d) 8 PTS: REF: Communication OBJ:. - Graphing Quadratic Functions b Using Transformations