MATH 1050-003: Quiz 4 February 19, 2008

MATH 1050-003: Quiz 4
There are problems on both sides of each sheet.
February 19, 2008
u I.D.:
This is a closed book and closed note quiz. No calculators are allowed. Please
write neatly in pencil and circle your final solution.
You may need the following:
f (x) = a(x − h)2 + k, a 6= 0
1. a) Find the standard form of the quadratic function (You’ll need to complete the square.)
f (x) = x2 − 8x + 16
b) Identify the vertex.
c) Determine the x-intercepts. Hint: Use the original quadratic.
d) Sketch the graph of the quadratic function with the information found in b) and c).
Please label and draw carefully.
2. Write the standard form of the equation of the parabola that has the indicated vertex
and whose graph passes through the given point.
Vertex: (3, 4); point: (1, 2)
3. Sketch the graph of the function
f (x) = x3 − 3x2
a) applying the Leading Coefficient Test,
b) finding the zeros of the polynomial,
c) plotting sufficient solution points, and
d) drawing a continuous curve through the points.
Please label and draw the graph carefully.