Quadratics Review II

Find the x-intercept(s) for the following quadratic function:

y = (x - 5)(x + 13)

• (0, -65)

• (-5, 0) and (13, 0)

• (5, 0) and (-13, 0)

• (8, 0)

Using the discriminant, determine the number of solutions for the following function:

y = 9x² + 6x + 1

• No Solution

• One Solution

• Two Solutions

• Infinite Solutions

Which equation has roots {-3, 6}

• y = (x + 3)(x - 6)

• y = (x - 3)(x + 6)

• y = (x - 3)² + 6

• x = (y + 3)(y - 6)

Find the average rate of change for the interval [-3, 2] for the function:

f(x) = x² + 6x + 4

• 5

• 1/5

• -15

• 8

Identify which of the following equations is NOT quadratic.

• y = (x - 10)(x - 4)

• (x + 8)6 = x(3x)

• 5x(9 - x) = 2x

• 7(3x) = -8x + 5x(2)

Which of the quadratic functions has the narrowest graph?

• y = 2x²

• y = 1/3x²

• y = -1/4x²

• y = -5x²

Which statement best represents the discriminant of the shown parabola?

• The discriminant is negative.

• The discriminant is positive.

• The discriminant is zero.

• None of the above.

Which function best models the graph?

• y = -(x + 2)² + 4

• y = -(x - 2)² - 4

• y = (x + 4)² - 2

• y = -(x - 4)² + 2

Solve using the quadratic formula:

f(x) = 3x² + 3x - 5

• (-3 +/- √69) / 6

• {5/3, -8/3}

• {69}

• (3 +/- √51) / 6

Based on the graph of the function, which statement is true?

• b² - 4ac < 0

• b² - 4ac > 0

• b² - 4ac = 0

• Not enough information