Algebra 6A Quiz 1 Study Guide

Using a graphing calculator, sketch the quadratic function f(x) = x²+2x+5. Which key feature is NOT correct?

• minimum: (-1,4)

• y-int: (0,5)

• axis of symmetry: x=-1

• x-int: (-2,0)

Find f(6) given f(x)= x²+ 10x - 3

• 121

• 93

• 106

• 82

The graph below shows the height, y, in feet, of a basketball thrown by a player, as a quadratic function of x, the time in seconds. What is the domain of this function in this situation?

• 0 ≤ y ≤ 12

• 0 ≤ x ≤ 35

• 5.25 ≤ y ≤ 12

• 5.5 ≤ x ≤ 55

Let f(x)= x² and g(x)=(x+5)². Describe the transformation from f(x) to g(x).

• Shift up 5

• Shift down 5

• Shift left 5

• Shift right 5

What is the range of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the range for the function below? 

• y ≤ 4
• y ≥ 4
• All real numbers
• -3 ≤ y ≤ 1

What is the domain and the range for the graph?

• Domain : -2 ≤ x ≤ 2
  Range : 0 ≤ y ≤ 4
• Domain : 0 ≤ x ≤ 4
  Range : -2 ≤ y ≤ 2
• Domain : All real #s
  Range : y ≤ 4
• Domain : -2 ≤ x ≤ 2
  Range : y ≤ 4

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4