MATH 1050-003: Quiz 4
There are problems on both sides of each sheet.
February 19, 2008
Name:
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
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
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)
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3. Sketch the graph of the function
f (x) = x3 − 3x2
by
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.
4