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Math Problems
Algebra 2
Function transformation rules
The equation
6
y
−
3
x
=
5
6y-3x=5
6
y
−
3
x
=
5
is graphed in the
x
y
xy
x
y
-plane. Which of the following is a true statement about the graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph's
x
x
x
-intercept is
5
6
\frac{5}{6}
6
5
and its
y
y
y
-intercept is
−
5
3
-\frac{5}{3}
−
3
5
.
\newline
(B) The graph's
x
x
x
-intercept is
−
5
3
-\frac{5}{3}
−
3
5
and its
y
y
y
-intercept is
5
6
\frac{5}{6}
6
5
.
\newline
(C) The graph has a slope of
2
2
2
.
\newline
(D) The graph has a slope of
−
1
2
-\frac{1}{2}
−
2
1
.
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The equation
5
x
+
4
y
=
1
5x+4y=1
5
x
+
4
y
=
1
is graphed in the
x
y
xy
x
y
-plane. Which of the following is a true statement about the graph?
\newline
Choose
1
1
1
answer:
\newline
(A) The graph's
y
y
y
-intercept is
1
5
\frac{1}{5}
5
1
.
\newline
(B) The graph's
x
x
x
-intercept is
−
1
4
-\frac{1}{4}
−
4
1
.
\newline
(C) The graph has a slope of
−
5
4
-\frac{5}{4}
−
4
5
.
\newline
(D) The graph has a slope of
−
4
5
-\frac{4}{5}
−
5
4
.
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Which of the following is a correct interpretation of the expression
\newline
−
3
+
(
−
5
)
-3+(-5)
−
3
+
(
−
5
)
?
\newline
Choose
1
1
1
answer:
\newline
(A) The number that is
5
5
5
to the left of
−
3
-3
−
3
on the number line
\newline
(B) The number that is
5
5
5
to the right of
−
3
-3
−
3
on the number line
\newline
(C) The number that is
3
3
3
to the left of
5
5
5
on the number line
\newline
(D) The number that is
3
3
3
to the right of
5
5
5
on the number line
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Which of the following is a correct interpretation of the expression
\newline
6
−
13
6-13
6
−
13
?
\newline
Choose
1
1
1
answer:
\newline
(A) Start at
13
13
13
on the number line and move
6
6
6
to the left.
\newline
(B) Start at
13
13
13
on the number line and move
6
6
6
to the right.
\newline
(C) Start at
6
6
6
on the number line and move
13
13
13
to the left.
\newline
(D) Start at
6
6
6
on the number line and move
13
13
13
to the right.
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What does the transformation
f
(
x
)
↦
f
(
x
−
4
)
f(x) \mapsto f(x - 4)
f
(
x
)
↦
f
(
x
−
4
)
do to the graph of
f
(
x
)
f(x)
f
(
x
)
?
\newline
Choices:
\newline
(A)
translates it
4
units right
\text{translates it } 4 \text{ units right}
translates it
4
units right
\newline
(B)
translates it
4
units down
\text{translates it } 4 \text{ units down}
translates it
4
units down
\newline
(C)
translates it
4
units left
\text{translates it } 4 \text{ units left}
translates it
4
units left
\newline
(D)
translates it
4
units up
\text{translates it } 4 \text{ units up}
translates it
4
units up
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