13
Chapter 1: Algebra Review
75. Find the equation of the fourth-degree
polynomial that goes through the point
(1, 4) and has the roots –1, 2, and 3,
where 3 is a repeated root.
76. A parabola crosses the x-axis at the points
(–4, 0) and (6, 0). If the point (0, 8) is on the
parabola, what is the equation of the
parabola?
77. A parabola crosses the x-axis at the points
(–8, 0) and (–2, 0), and the point (–4, –12) is
on the parabola. What is the equation of
the parabola?
Domain and Range from
a Graph
78–80 Find the domain and range of the function
with the given graph.
78.
69. Find the vertex form of the parabola that
passes through the point (0, 2) and has a
vertex at (–2, –4).
70. Find the vertex form of the parabola that
passes through the point (1, 2) and has a
vertex at (–1, 6).
71. A parabola has the vertex form y = 3(x + 1)
2
+ 4. What is the vertex form of this parabola
if it’s shifted 6 units to the right and 2 units
down?
72. What is the equation of the graph of y = e
x
after you compress the graph horizontally
by a factor of 2, reflect it across the y-axis,
and shift it down 5 units?
73. What is the equation of the graph of y x
=
after you stretch the graph horizontally by
a factor of 5, reflect it across the x-axis, and
shift it up 3 units?
74. Find the equation of the third-degree polynomial that goes through the points (–4, 0),
(–2, 0), (0, 3), and (1, 0).