Pre Calculus Quiz 1 2 1 Review Game

Pre. Calculus Quiz 1 (2. 1) Review!! Game rules: ü Work in group of 2. ü Use your ASSIGNED numbers. ü Some numbers are associated with a question a group must answer. ü A group can pass along the question to another group. ü Winners: get a choice of either 1 HW passes or 5 points on Quiz 2. 1 Friday!!

#3

Sketch the graph of the function. **Hint: Make table to values!! Compare it with the graph of y = x 2 - Reflection in the x – axis and horizontal shifts 3 units to the left. - Reflection in the x – axis and vertical shifts 3 units upward. - Reflection in the x – axis and horizontal shifts 3 units to the right. - Reflection in the x – axis and vertical shifts 3 units downward.

Answer: - Reflection in the x – axis and vertical shifts 3 units upward.

#19

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (-3, -4) 1) Point: (-1,

Answer:

#6

Describe the graph of the quadratic function. - Parabola opening upward - Parabola opening downward Identify the vertex and the x – intercept(s). - Vertex (x, y) = ( ) - X – intercept (x, y) = ( ) (smaller x – value) - X – intercept (x, y) = ( ) (larger x – value)

Answer: Parabola opening downward Vertex (x, y) = ( -5, -12 ) X – intercept (x, y) = (-5 - 2√ 3, 0) (smaller x – value) X – intercept (x, y) = (-5 + 2√ 3, 0) (larger x – value)

#10

The path of a diver is approximated by the following, where y is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. What is the maximum height of the diver?

Answer: 7 feet

#12

Describe the graph of the function. - Parabola opening upward - Parabola opening downward Identify the vertex. (x, y) = ( )

Answer: Parabola opening upward Vertex: (7, 8)

#17

Match the quadratic function with its graph.

Answer:

#13

Is the quadratic function written in standard form? - Yes - No Identify the vertex of the graph of f. (x, y) = ( )

Answer: Yes, vertex: (1, 6)

#1

Determine the x – intercepts of the graph. - X – intercept (x, y) = ( ) (smaller x – value) - X – intercept (x, y) = ( ) (larger x – value)

Answer: - X – intercept (x, y) = ( -5, - X – intercept (x, y) = ( ½ 0 ) (smaller x – value) , 0 ) (larger x – value)

#18

Write an equation for the parabola in standard form. f(x) =

Answer:

#9

Describe the graph of the function. - Parabola opening upward - Parabola opening downward Identify the vertex. (x, y) = ( )

Answer: Parabola opening downward. Vertex: (-2, 6)

#10

Does the graph of the quadratic function have a relative minimum value at its vertex? - Yes - No

Answer: NO

#11

Sketch the graph of the function. Compare it with the graph of y = x 2 - Reflection in the x – axis, horizontal shifts 5 units to the left, and vertical shifts 2 units downward. - Reflection in the x – axis, horizontal shift 2 units to the left, and vertical shifts 5 units downward. - Reflection in the x – axis, horizontal shift 2 units to the right, and vertical shifts 5 units downward. - Reflection in the x – axis, horizontal shift 5 units to the right, and vertical shifts 2 units downward.

Answer: Reflection in the x – axis, horizontal shift 2 units to the left, and vertical shifts 5 units downward.