Expansions and compressions are transformations that change the length or width of the graph of a function.
To graph y = a*f (x)
if a> 1, the graph of y = f (x) is expanded vertically by a factor a.
We have then:
f (x) = 2/5 x ^ 2-2
The function g (x) is a vertical stretch of f (x) by a factor of 2:
g (x) = 2f (x)
g (x) = 2 (2/5 x ^ 2-2)
g (x) = 4/5 x ^ 2-4
Answer:
The equation of g (x) is:
g (x) = 4/5 x ^ 2-4
Answer:
b. 4 (7 + 6)
Step-by-step explanation:
Finding the GCF between 28 and 24:
We keep dividing while both numbers can be divided by the same factor. So
28 - 24|2
14 - 12|2
7 - 6
There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.
Simplifying in function of the GCF:
Now, we put 4 in evidence, and divide the rest of the expression by 4. So
The answer is given by option b.
Use the quotient property of logarithms,
log
b
(
x
)
−
log
b
(
y
)
=
log
b
(
x
y
)
log
b
(
x
)
-
log
b
(
y
)
=
log
b
(
x
y
)
.
log
2
(
x
+
2
x
−
5
)
=
3
log
2
(
x
+
2
x
-
5
)
=
3
Rewrite
log
2
(
x
+
2
x
−
5
)
=
3
log
2
(
x
+
2
x
-
5
)
=
3
in exponential form using the definition of a logarithm. If
x
x
and
b
b
are positive real numbers and
b
b
≠
≠
1
1
, then
log
b
(
x
)
=
y
log
b
(
x
)
=
y
is equivalent to
b
y
=
x
b
y
=
x
.
2
3
=
x
+
2
x
−
5
2
3
=
x
+
2
x
-
5
Solve for
x
x
Tap for more steps...
x
=
6
Answer: $2,000
Step-by-step explanation:
Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k
