Algebra 1 Week 3.10 Page 527

Quadratics Review, Part 1 Category 5 (A.9D, A.10B)

The graph below shows the height of two objects, one which was droppedand which was thrown upward. Write three statements regarding the graph below.

1.

2.

3.

Algebra 1 Week 3.10 Page 528

Quadratic Functions

1. Complete the graph for f ( x )=12

x2+4 x .

x f(x)

–4 –8

–3 –7.5

–2 –6

–1 –3.5

0 0

1 4.5

2 10

The y-intercept is at the point _____________________________________________________

The equation of the line of symmetry is _____________________________________________

This parabola has a maximum or minimum at the point _________________________________

Algebra 1 Week 3.10 Page 529

2. Complete the table for f ( x )=(x+2)2.

The graph is translated __________________________________________________________

The x-intercepts are at the points __________________________________________________

The parabola opens _____________________________________________________________

x f(x)

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3. Complete the table and graph for f ( x )=−2 x2−12 x−10.

x f(x)

The x-intercepts and the y-intercept are _____________________________________________

The vertex is at the point _________________________________________________________

The equation of the line of symmetry is _____________________________________________

Algebra 1 Week 3.10 Page 531

What’s In a Quadratic?

Use the following word bank to identify the parts of quadratic function both on the graph and in the table as appropriate.

f ( x )=x2+3 x−4

y-intercept vertex minimum

maximum axis of symmetry x-intercept

x f(x)

–4 0

–3 –4

–2 –6

–1 –6

0 –4

1 0

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Algebra 1 Week 3.10 Page 533

Practice: Using the Quadratic Formula, Category 5 (A.9D, A.10B)

Name: _______________________________ Period: ______________

Complete the following parts. For each statement, decide if the statement is true or false. If the statement is false, rewrite the underlined portion to make the statement true.

Part 1

______ A. There is only one x-intercept for f(x).

______ B. The graph of f(x) has noy-intercept.

______ C. The axis of symmetry is approximately at x = –3.8 .

______ D. The graph of f(x) has a maximum point.

h ( x )=(x+6)2

Part 2

______ A. The graph of h(x) has exactly onex-intercept.

______ B. The value of h(–2) is equal to 12.

______ C. The y-intercept ofh(x) is (–6, 0).

______ D. The axis of symmetry for h(x) is x = 6 .

x f(x)

–8 4

–7 1

–6 0

–5 1

–4 4

–3 9

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