Repeat parts (a) through (h) from the exercise for
f(x) = −x2 + 2x + 1.
exercise
Let f(x) = x2 − 3x − 10.
a. Solve f(x) = 0.
b. Solve f(x) = −10.
c. Solve f(x) > 0.
d. Solve f(x) ≤ 0.
e. Write f in the form f(x) = a(x − h)2 + k and describe the graph of f as a transformation of the graph of y = x2.
f. Graph f and state the domain, range, and the maximum or minimum y-coordinate on the graph.
g. What is the relationship between the graph of f and the answers to parts (c) and (d)?
h. Find the intercepts, axis of symmetry, vertex, opening, and intervals on which f is increasing or decreasing.
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