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4.6.3 Test (CST): Undoing Functions and Moving Them Around
Question 1 of 25
Suppose that
g(x)=f(x)-3. Which statement best compares the graph of
g(x) with the graph of
f(x) ?
A. The graph of
g(x) is vertically stretched by a factor of 3 .
B. The graph of
g(x) is shifted 3 units to the left.
C. The graph of
g(x) is shifted 3 units down.
D. The graph of
g(x) is shifted 3 units up.

$4$ . $6$ . $3$ Test (CST): Undoing Functions and Moving Them Around $\newline$ Question $1$ of $25$ $\newline$ Suppose that $g(x)=f(x)-3$ . Which statement best compares the graph of $g(x)$ with the graph of $f(x)$ ? $\newline$ A. The graph of $g(x)$ is vertically stretched by a factor of $3$ . $\newline$ B. The graph of $g(x)$ is shifted $3$ units to the left. $\newline$ C. The graph of $g(x)$ is shifted $3$ units down. $\newline$ D. The graph of $g(x)$ is shifted $3$ units up.

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Find probabilities using the addition rule

Full solution

Q.

4

.

6

.

3

Test (CST): Undoing Functions and Moving Them Around

\newline

Question

1

of

25

\newline

Suppose that

g(x)=f(x)-3

. Which statement best compares the graph of

g(x)

with the graph of

f(x)

?

\newline

A. The graph of

g(x)

is vertically stretched by a factor of

3

.

\newline

B. The graph of

g(x)

is shifted

3

units to the left.

\newline

C. The graph of

g(x)

is shifted

3

units down.

\newline

D. The graph of

g(x)

is shifted

3

units up.

Identify Vertical Shift: Since $g(x) = f(x) - 3$ , this means that every $y$ -value on the graph of $f(x)$ is decreased by $3$ to get the graph of $g(x)$ .
Vertical Shift Explanation: This is a vertical shift, not a stretch or a horizontal shift.
Graph of $g(x)$ : The graph of $g(x)$ is shifted $3$ units down from the graph of $f(x)$ .

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\newline

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\newline

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\newline

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