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Math Problems
Algebra 2
Dilations of functions
Which function would be produced by a horizontal stretch of the graph of
\newline
y
=
x
y=\sqrt{x}
y
=
x
followed by a reflection in the
x
x
x
-axis?
\newline
a)
y
=
2
(
−
x
)
y=\sqrt{2(-x)}
y
=
2
(
−
x
)
\newline
b)
y
=
−
2
x
y=-\sqrt{2x}
y
=
−
2
x
\newline
c)
y
=
(
1
2
)
(
−
x
)
y=\sqrt{\left(\frac{1}{2}\right)(-x)}
y
=
(
2
1
)
(
−
x
)
\newline
d)
y
=
−
(
1
2
)
x
y=-\sqrt{\left(\frac{1}{2}\right)x}
y
=
−
(
2
1
)
x
Get tutor help
Evaluate the limit:
lim
x
→
1
x
−
1
1
−
x
\lim _{x \rightarrow 1} \frac{x-1}{1-\sqrt{x}}
lim
x
→
1
1
−
x
x
−
1
Get tutor help
If
y
=
1.
8
x
+
1
y=1.8^{x}+1
y
=
1.
8
x
+
1
is graphed in the
x
y
xy
x
y
-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?
\newline
Choose
1
1
1
answer:
\newline
(A)
y
y
y
-intercept
\newline
(B)
x
x
x
-intercept
\newline
(C) Slope
\newline
(D) The value
y
y
y
approaches as
x
x
x
decreases
Get tutor help
What does the transformation
f
(
x
)
↦
f
(
4
x
)
f(x) \mapsto f(4x)
f
(
x
)
↦
f
(
4
x
)
do to the graph of
f
(
x
)
f(x)
f
(
x
)
?
\newline
Choices:
\newline
[A] stretches it vertically
\newline
[B] stretches it horizontally
\newline
[C]shrinks it horizontally
\newline
[D]shrinks it vertically
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