Quadratic Inequality

1. Which of the following is a quadratic inequality?

• x² + 4x – 21 = 0

• 2x – 3 < 0

• t ≤ -7 + 4t²

• x² – 4x + 21 = 0

1. The following are the solutions for the quadratic inequality x² + 5x – 14 ≤ 0, EXCEPT…

• x ≥ -7

• -7 < x < 2

• x ≤ 2

• none of the above

1. Determine the function described “the graph of f(x) = 3x² shifted 5 units to the left and 7 units upward”.

• f(x) = 3(x + 5)² – 7

• f(x) = 3(x + 5)² + 7

• f(x) = 3(x - 5)² + 7

• f(x) = 3(x - 5)² – 7

1. What is the vertex of the parabola with the equation f(x) = x² – 6x + 8?

• (1,-3)

• (3,-1)

• (-3,1)

• (-1, -3)

1. Which of the following has the narrowest graph?

• f(x) = 10x²

• f(x) = 2(x + 1)²

• f(x) = -7 (x + 5)² - 3

• f(x) = 9 - 5x²

1. It is the value of f(x) = ax² + bx + c where a > 0, is the y-coordinate of the vertex.

• minimum value

• maximum value

• range

• domain

1. What is an equation of a quadratic function whose zeros are twice the zeros of y = 2x² - x -10?

• f(x) = 2x² - 20x + 20

• f(x) = x² - x - 20

• f(x) = 2x² - 2x - 5

• f(x) = 2x² - 2x – 10

1. What is the range of f(x) = x² - 6x + 13?

• y = 3

• y ≥ 3

• y ≥ 4

• y ≤ 4

1. What is the maximum rectangular area that can be enclosed by a fence that is 100 meters long?

• 625m²

• 600m²

• 556m²

• 624m²

1. A 10 cm by 17 cm picture is mounted with border of uniform width on a rectangular frame. If the total area of the border is 198 cm², what is the length of the side of the frame?

• 23cm

• 20cm

• 16cm

• 11m