Assignments:
(11) Monday, 28 February – Due Wednesday, 2 March
(a) Read §10.6
(b) §10.6
(i) 1, 3, 5, 7 - 12
(ii) 35, 37, 39, 41 – Perform the following tasks for each problem:
(A) On graph paper , plot the vertex and label the vertex with its coordinates.
(B) Draw the axis of symmetry as a dashed vertical line, then label it with its
equation.
(C) Calculate and plot two points to the right of the axis of symmetry that
satisfy the given quadratic function . Plot mirror images of these two points
on the other side of the axis of symmetry.
(D) Use all of the information plotted thus far to complete the sketch of the
graph of the given quadratic function.
(E) Use interval notation to describe the domain and range of the given qua-
dratic function.
(F) Write down the maximum or minimum value for each function .
(iii) 47, 49
(c) Read §10.7, pp 794 - 798. Skip the section “’Finding Intercepts” for
now.
(d) §10.7
(i) 1, 3, 5 – Use the “completing the square” technique for part (a).
(ii) 7, 11, 13, 21 – For part (a), use either the “completing the square” or the
vertex
formula on page 797. For part (b), perform the following tasks:
(A) On graph paper, plot the vertex and label the vertex with its coordinates.
(B) Draw the axis of symmetry as a dashed vertical line , then label it with its
equation.
(C) Calculate and plot two points to the right of the axis of symmetry that
satisfy the given quadratic function. Plot mirror images of these two points
on the other side of the axis of symmetry.
(D) Use all of the information plotted thus far to complete the sketch of the
graph of the given quadratic function.
(E) Use interval notation to describe the domain and range of the given qua-
dratic function.
(iii) 27, 29 – Use the MIN or MAX routine in the CALC menu on your calculator
to approximate the vertex of the graph of these functions. Then compare your
answer with the vertex formula on page 797.
(e) Read §10.1, pp. 746 - 749, through Example 4.
(f) §10.1
(i) 1, 3, 5
(ii) 11, 75 – Use the Principle of Square Roots to solve these equations.
(12) Wednesday, 2 March – Due Wednesday, 9 March
(a) Read §R.6 on the factoring of quadratic
polynomials. In particular, the sections on
“ Factoring Trinomials ” and “Factoring Special Forms” apply to the factoring of
qua-
dratic polynomials, and the “Principle of Zero Products ” provides a method for
solving
some quadratic polynomials by factoring (see Example 13). Note that there are
margin
notes referring to earlier sections of the text for further explanations of
various topics.
(b) §R.6
(i) 31, 33, 37, 43 – Use factoring to solve these problems.
(c) Read §10.2, but skip Example 3.
(d) §10.2
(i) 1, 3, 9, 13, 17, 21, 23, 29
(e) Read pp. 799 - 800 of §10.7 on “Finding Intercepts”.
(f) §10.7
(i) 31, 33, 37 – Perform the following tasks:
(A) Find the x-intercepts of the function, if any.
(B) Find the vertex of the graph.
(C) Plot the vertex, x-intercepts, and the axis of symmetry. Plot a few addi -
tional points on the graph of the function and complete the sketch of the
parabola.
(ii) 41 – Perform the following tasks:
(A) Sketch the graph of f using your graphing calculator. Adjust the viewing
window so that the x-intercepts and the vertex of the parabola are visible
in your view-screen. Copy the result onto your homework paper and label
the graph with its equation . Label and scale each axis as usual.
(B) Use the MIN or MAX routine in the CALC menu to find the coordinates of
the vertex . Label the vertex in your plot with these coordinates.
(C) Use the ZERO routine in your CALC menu to find the zeros (x-intercepts)
of the given quadratic function. Label these points in your graph with their
coordinates.
