Comparing Functions Represented in Different Ways
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
If
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
and
g
(
x
)
=
(
x
−
4
)
2
g(x)=(x-4)^2
g
(
x
)
=
(
x
−
4
)
2
, how do their minimum values compare?
QUESTION
Identify which has greater output at
x
=
−
1
x=-1
x
=
−
1
:
f
(
x
)
=
x
2
+
2
f(x)=x^2+2
f
(
x
)
=
x
2
+
2
or
g
(
x
)
=
3
x
+
1
g(x)=3x+1
g
(
x
)
=
3
x
+
1
.
QUESTION
For
f
(
x
)
=
a
(
x
−
h
)
2
+
k
f(x)=a(x-h)^2+k
f
(
x
)
=
a
(
x
−
h
)
2
+
k
, when does the quadratic have a minimum value?
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ANSWER
When
a
>
0
a>0
a
>
0
, minimum value is
k
k
k
. When the parabola opens upward, the vertex gives the lowest point.
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