Describe how the graph of the function is related to the graph of .
g(
x) =
x
2 – 7
Write the equation of the axis of symmetry.
y = 3
x
2 + 9
x – 5
State the value of the discriminant. Then determine the number of real roots of the equation.
n(7
n + 8) = –10
Solve the equation by graphing.
Describe how the graph of the function is related to the graph of .
h(
x) =
x
2
Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value of the function.
–2
+ 10
6
Solve the equation.
15
x
2 – 28
x + 5 = 0
Describe how the graph of the function is related to the graph of .
h(
x) = –
x
2
Given that f(x) = 5x2 + 2x – 3, g(x) = 6x – 3, and h(x) = 2x + 9 find each function.
(
f •
g)(
x)
Given that f(x) = x2 – 7x – 1, g(x) = 2x – 3, and h(x) = 4x – 5 find each function.
(
f +
g)(
x)
Write the equation of the axis of symmetry.
y = –8 – 4
x – 3
x
2
Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.
(
g −
f)(
x)
Solve the equation by factoring.
25
d
3 – 36
d = 0
Find the coordinates of the vertex of the graph of the function.
y = 5
x
2 – 7
Solve the equation by graphing.
Solve the system of equations algebraically.
y = –
x
2 + 3
x – 3
x + y = –3
Solve the equation by graphing.
Solve the equation by graphing.
Solve the equation by graphing.
+ 5
+ 4
Solve the equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.