Algebra II/Trig Name______

Chapter Five Group Quiz Name______Name______

Name______

#1 a)- e) Use the function f(x) = –2x2 – 4x + 5:

______a) Transform the equation into vertex form.

______b) Write the coordinates of the vertex.

______c) Find the y-intercept.

______d) Find the symmetric point.

____see graph______e) Sketch the graph showing the vertex, y-intercept, and symmetric point.

______2) Solve by quadratic formula: x2 – 6x + 25 = 0

______3) Solve by completing the square: x2 – 6x – 13 = 0

#4-5 –a) Find the discriminant (show your work) and b) state the nature of the roots.

a)_d =______4) 2x2 – 3x + 5 = 0 5) –6x2 – 3x + 2 = 0

b)______

a)_d =______

b)______

6) ______6) Suppose f(x) = x2 – 2x – 10; find x, if f(x) = 5.

d = ______7) Given f(x) = 3x2 – 8x + 6, use the discriminant to determine whether or not

the function has any real values when f(x) = 2. SHOW YOUR WORK!

YES / NO

Comp. conj.______8) Find the product of 4 – 3i and its complex conjugate.

Product:______

9) Plot (4 – i) on a complex number plane.

#10-11 – Evaluate.

______10) i30 11) i –13

______11)

______12) Find the particular equation in vertex form of the quadratic function

with vertex at (7, –3), containing the point (8, 2).

13) When a football is thrown, it reaches a maximum height and then comes back down. Assume, therefore that a quadratic function is a reasonable mathematical model for this situation.

Let t = number of seconds that have elapsed since the ball was thrown.

Let y = number of meters the ball is above the ground.

______a) The quarterback from LAHS throws the football to his wide receiver from a

height of 2 meters above the ground. At times t = 1 and 2 seconds after the ball is thrown, the ball is 12 and 10 meters above the ground, respectively. Write the particular equation for this function, expressing y in terms of t.

______b) What is the maximum height the football reaches above the ground?

(Round to the nearest tenth)

______c) The wide receiver misses the pass and the ball lands on the ground. To the

nearest tenth of a second, determine how many seconds the football is in the

air.

d) Sketch a graph of the function in the appropriate domain and range.