Quadratics Quiz - EOC Prep

• The graph of f(x) is obtained by flipping g(x) over the x-axis and shifting up 2 units.

• The graph of g(x) is obtained by flipping f(x) over the x-axis and shifting up 2 units.

• The graph of f(x) is obtained by flipping g(x) over the x-axis and shifting left 2 units.

• The graph of g(x) is obtained by flipping f(x) over the x-axis and shifting left 2 units.

• The graph of g(x) is obtained by shifting f(x) up 2 units and compressing vertically by a factor of 3.

• The graph of f(x) is obtained by shifting g(x) up 2 units and compressing vertically by a factor of 3.

• The graph of g(x) is obtained by shifting f(x) right 2 units and stretching vertically by a factor of 3.

• The graph of f(x) is obtained by shifting g(x) right 2 units and stretching vertically by a factor of 3.

Based on the graph shown, which features are correctly stated?

• Axis of symmetry: x = 1

• x-intercepts: (0, -1) and (0, 3)

• Vertex: (1, 4)

• Function: f(x) = x²+2x-3

• zeros at -1 and 3

Select all of the following quadratic graphs that have a range of {y: 0 ≤ y ≤ ∞}.

• 
• 
• 
• 
• 

Which statements are correct about the average rate of change for the function given in the table?

• The rate of change is 3 over the interval 1 ≤ x ≤ 2.

• The rate of change is 3 over the interval 1 ≤ x ≤ 3.

• The rate of change is 6 over the interval 1 ≤ x ≤ 4.

• The rate of change is 5 over the interval 2 ≤ x ≤ 3.

• The rate of change is 6 over the interval 2 ≤ x ≤ 4.

f(x) is a quadratic function with x-intercepts at (-1, 0) and (-3, 0). If the range of f(x) is [4, ∞) and g(x) = 2x² + 8x +6, compare f(x) and g(x). Select the statement that is not correct.

• Both functions have the same vertex.

• Both functions have the same domain.

• Both functions have the same x-intercepts.

• Both functions are decreasing on the interval (-∞, -2).

A rocket is launched from the ground, and its height above the ground is given by the quadratic function h(t) = -4.9t² + 40t, where t is the time in seconds. Determine the domain of this situation.

• {t ∣ t ≤ 8.16}

• {t ∣ 0 ≤ t ≤ 81.63}

• {t ∣ 0 ≤ t ≤ 8.16}

• {t ∣ t ≥ 0}