Algebra 2 Cumulative Quiz

The graph of the function g was obtained from the graph of the function f using a transformation as shown above. Based on the graph, which equation can be used to describe g(x) in terms of f(x)?

• g(x) = f(x) + 6

• g(x) = f(x + 6)

• g(x) = f(x) - 6

• g(x) = f(x - 6)

The graph of the function f is shown above.

Which gris shows the graph of f^-1?

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Given the equation above, which of the following represents y in terms of x?

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What is the y-value of the solution to the matrix equation above?

• -6

• 14

• -5

• 12

Which of the following quadratic functions does not have zeros of

-15 and 6?

• f(x) = ⅓x² + 3x - 30

• f(x) = -x² - 9x + 90

• f(x) = -⅔x² - 6x + 60

• f(x) = -x² - 9x - 90

The base of a triangle is 3 inches less than twice its height. If the area of the triangle is 126 square inches, which of the following equations can be used to find h, the height of the triangle in inches?

• 2h² - 3h + 63 = 0

• 2h² - 3h - 63 = 0

• 2h² - 3h + 252 = 0

• 2h² - 3h - 252 = 0

The table above shows ordered pairs that satisfy the quadratic function f.

Based on the table, a solution to the equation f(x) = 0 is found in which interval?

• -2 < x < -1

• -1 < x < 1

• 1 < x < 2

• 3 < x < 5

Which figure best describes the graph of

2x² + 5y² - 2x - 10y - 15 = 0?

• Circle

• Ellipse

• Parabola

• Hyperbola

The graph of the quadratic function f is shown on the grid above.

If the graph of f is translated 5 units to the right and 4 units down to create a new graph, which function best represents this new graph?

• g(x) = -(x + 3)² - 1

• g(x) = -(x - 3)² - 1

• g(x) = (3 - x)² + 1

• g(x) = (3 - x)² - 1

The formula above can be used to approximate the period of a pendulum, where L is the pendulum's length in feet and P is the pendulum's period in seconds.

If a pendulum's period is 1.6 seconds, which of the following is closest to the length of the pendulum?

• 1.4 ft

• 4.2 ft

• 2.1 ft

• 3.2 ft