Unformatted text preview: and range of each function and list the intervals on which the function is increasing
or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex
yields a relative and absolute maximum or minimum.
(a) f (x) = x2 + 2 (e) f (x) = 2x2 − 4x − 1 (b) f (x) = −(x + 2)2 (f) f (x) = −3x2 + 4x − 7 (c) f (x) = x2 − 2x − 8 (g) f (x) = −3x2 + 5x + 4
(h) 6 f (x) = x2 −
100 (d) f (x) = −2(x + 1)2 + 4
2. Graph f (x) = |1 − x2 | 3. Find all of the points on the line y = 1 − x which are 2 units from (1, −1)
4. With the help of your classmates, show that if a quadratic function f (x) = ax2 + bx + c has
two real zeros then the x-coordinate of the vertex is the midpoint of the zeros.
5. Assuming no air resistance or forces other than the Earth’s gravity, the height above the
ground at time t of a falling object is given by s(t) = −4.9t2 + v0 t + s0 where s is in meters, t
is in seconds, v0 is the object’s initial velocity in meters per second and s0 is its initial position
(a) What is the applied dom...
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