Unit 4: Working and modeling with quadratics

Find the axis of symmetry and the vertex of the parabola: g(x) = 4x² - 2x + 1

• axis of symmetry: x = ¾
  vertex: (¾, ¼)
• axis of symmetry: x = ⅔
  vertex:( ⅔, 1)
• axis of symmetry: x = ¼
  vertex: (¼, ¾)
• axis of symmetry: x = 1
  vertex: (1, ⅔

The table gives the number of candy pieces sold in a candy shop between 1980 and 1985. Determine which model best fits the data.

• linear
• absolute value
• quadratic
• exponential

Determine which function the set of ordered pairs best represents.
{(-2, 2), (-4, 4), (2, 2), (4, 4)}

• linear
• exponential
• quadratic

A salesperson earns a monthly salary of $400 a month plus a percentage of the proceeds from the number of items he sells. Which graph would model this situation?

• Option A
• Option B
• Both
• Neither

What is the range of the function m(x) = -3x² + 4x + 3 with a domain of -1 ≤ x ≤ 1

• -1 ≤ y ≤ 1
• -5 ≤ y ≤ 5
• -4 ≤ y ≤ 4
• -2 ≤ y ≤ 2

A football is thrown straight up, with an initial velocity of thirty meters per second and form an initial height of 3 meters. The function h(t) = 3 + 30t - 4.9t² describes the height as a function of time. What is the average speed of the football during the first two seconds of flight?

• 7.65 m/s
• 15.3 m/s
• 20.2 m/s

What type of function is depicted in the following graph?

• absolute value function
• step function
• piecewise function

Which function has the highest range with a domain of 3?

• f(x) = 2x - 4
• g(x) = 2(0.5)^x
• h(x) = 3x² + 4x + 9

What is the domain of the function shown in the graph?

• 1 ≤ x ≤ 4
• -1 ≤ x ≤ 5
• -1 < x ≤ 5

Find the inverse of g(x) = 3x + 2

• g^-1(x) = ⅓x + ⅔
• g^-1(x) = ⅓x - ⅔
• g^-1(x) = -⅔