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What should be done to
y=x^(2) to shrink its graph horizontally by each of the following factors?
a. Shrink horizontally by a factor of
(1)/(3)
b. Shrink horizontally by a factor of
(1)/(6)
c. Shrink horizontally by a factor of
(2)/(3)
d. Shrink horizontally by a factor of
(3)/(5)

$2$ . What should be done to $y=x^{2}$ to shrink its graph horizontally by each of the following factors? $\newline$ a. Shrink horizontally by a factor of $\frac{1}{3}$ $\newline$ b. Shrink horizontally by a factor of $\frac{1}{6}$ $\newline$ c. Shrink horizontally by a factor of $\frac{2}{3}$ $\newline$ d. Shrink horizontally by a factor of $\frac{3}{5}$

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Complex conjugate theorem

Full solution

Q.

2

. What should be done to

y=x^{2}

to shrink its graph horizontally by each of the following factors?

\newline

a. Shrink horizontally by a factor of

\frac{1}{3}

\newline

b. Shrink horizontally by a factor of

\frac{1}{6}

\newline

c. Shrink horizontally by a factor of

\frac{2}{3}

\newline

d. Shrink horizontally by a factor of

\frac{3}{5}

Multiply $x$ by reciprocal: To shrink a graph horizontally by a factor of $(1)/(3)$ , you multiply the $x$ by the reciprocal of the factor. $\newline$ Calculation: $y = (3x)^2$
Check for correct shrinkage: Check if the graph is shrunk by the right factor. $\newline$ If $x$ is replaced by $3x$ , the graph will be shrunk by $\frac{1}{3}$ horizontally.
Multiply $x$ by reciprocal: To shrink a graph horizontally by a factor of $(1)/(6)$ , you multiply the $x$ by the reciprocal of the factor. $\newline$ Calculation: $y = (6x)^2$
Check for correct shrinkage: Check if the graph is shrunk by the right factor. $\newline$ If $x$ is replaced by $6x$ , the graph will be shrunk by $\frac{1}{6}$ horizontally.
Multiply $x$ by reciprocal: To shrink a graph horizontally by a factor of $\frac{2}{3}$ , you multiply the $x$ by the reciprocal of the factor. $\newline$ Calculation: $y = \left(\frac{3}{2}x\right)^2$
Check for correct shrinkage: Check if the graph is shrunk by the right factor. $\newline$ If $x$ is replaced by $(\frac{3}{2})x$ , the graph will be shrunk by $\frac{2}{3}$ horizontally.
Multiply $x$ by reciprocal: To shrink a graph horizontally by a factor of $(3)/(5)$ , you multiply the $x$ by the reciprocal of the factor. $\newline$ Calculation: $y = ((5/3)x)^2$
Check for correct shrinkage: Check if the graph is shrunk by the right factor. $\newline$ If $x$ is replaced by $(\frac{5}{3})x$ , the graph will be shrunk by $\frac{3}{5}$ horizontally.

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