Sample Problems for Class Review

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Objectives Find the zeros of a quadratic function from its graph.

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Presentation transcript:

Sample Problems for Class Review Algebra 2

Use the quadratic formula to solve the following: y = x2 + 2x - 3 Answer:

Factor & solve the following expression: x2 – 9 = 0 Answer: x = -3 , x = 3

Graph the system: 2x + 3y – 6 ≤ 0 -2x + y + 4 < 0 Answer:

Factor the following expression: x6 - 1 Answer: (x - 1)(x2 + x + 1)(x + 1)(x2 – x + 1)

Graph the following quadratic function & label the vertex: y = -x2 – 2x + 3 Answer: (-1,4)

Factor the following expression: x8 – 13x4 + 36 Answer: (x2 - 2)(x2 + 2)(x2 - 3)(x2 + 3)

Graph the following quadratic function & label the “zero” points: y = -x2 – 2x + 8 Answer:

Factor the following expression: x6 + 3x4 - 4x2 - 12 Answer: (x2 - 2)(x2 + 2)(x2 + 3)

What are the solutions to each of the functions shown below: Answers: (no real #s) x = 2 x = -2, 4

Write the formula for the function shown below: Answer: f(x) ≥ 3|x - 2|

Write the formula for the function shown below: Answer: f(x)= -|x - 6|-2

Graph the following quadratic Graph the following quadratic. Label the vertex & axis of symmetry: y = -(x – 2)2 + 5 Answer: