1. Work through Example 1 of Section 5.5 by graphing both
f (x) = x^{2} and g(x) = −2(x +1)^{2} + 3 on

your grapher in an appropriate viewing window. Knowing what you do from Sections
5.1-5.3,

complete the blanks, choosing from the set of words {up, down, left, right}. The
graph of g(x) is

obtained from the function f(x) by shifting the graph of f(x) ________ 1 unit,
followed by

stretching it vertically by 2, followed by shifting it ______ 3 units.

2. Write the function g(x) in Example 1 of Section 5.5 in standard form: g(x) =_______________

3. The standard form for a quadratic function makes it
easy to identify the vertical (or y-) intercept.

o True

o False

4. What is the vertical intercept of the function g(x) in Example 1 of Section 5.5? ( ____, ____ )

5. If a < 0, then the graph of the parabola, y = −ax^{2}
opens

o downward

o upward

o to the left

o to the right

6. Which of these forms for a quadratic function make it
easiest to identify the zeros?

o standard form

o vertex form

o x-intercept form

o factored form

o none of these

7. How does the text convert a quadratic function from
vertex form to standard form?

o by completing the square

o by performing a series of shift transformations and either a vertical stretch
or a vertical compression

o by multiplying out the squared term and combining like terms

o by applying the quadratic formula or factoring the expression

8. How does the text convert a quadratic function from
standard form to vertex form?

o by completing the square

o by performing a series of shift transformations and either a vertical stretch
or a vertical compression

o by multiplying out the squared term and combining like terms

o by applying the quadratic formula or factoring the expression

9. Convert the formula for the parabola in Example 4 to standard form:

10. Convert the formula for the parabola in Example 4 to vertex form:

11. Match the following quadratic functions to their vertex point.

____ f(x) = x^{2} − 1 |
A. (0, 1) |

____ u(x) = x^{2} + 1 |
B. (1, 0) |

____ v(x) = (x + 1) ^{2} |
C. (0,−1) |

____ w(x) = (x − 1)^{2} |
D. (−1, 0) |

12. If y = x^{2} + bx + c then to complete the square you add and subtract which
one of the following values?

o b/2

o b/c

o (b/2)^{2}

o

o None of these