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Determine the value of
y, if
x is 1.

y=|x|-6
Answer:

Determine the value of $y$ , if $x$ is $1$ . $\newline$ $y=|x|-6$ $\newline$ Answer:

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Transformations of absolute value functions: translations, reflections, and dilations

Full solution

Q. Determine the value of

y

, if

x

is

1

.

\newline

y=|x|-6

\newline

Answer:

Substitute $x$ into function: Substitute the given value of $x$ into the function. $\newline$ We are given $x = 1$ , so we substitute this value into the function $y = |x| - 6$ . $\newline$ $y = |1| - 6$
Calculate absolute value: Calculate the absolute value of $x$ . The absolute value of $1$ is $1$ , since it is already a positive number. $y = 1 - 6$
Perform subtraction: Perform the subtraction to find the value of $y$ . $\newline$ Now we subtract $6$ from $1$ to get the value of $y$ . $\newline$ $y = 1 - 6$ $\newline$ $y = -5$

More problems from Transformations of absolute value functions: translations, reflections, and dilations

Question

g(x)

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\newline

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a

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Question

g(x)

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Question

y=|x|

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\newline

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Question

y=|x|

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\newline

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\newline

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Question

y=|x|

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\newline

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y=-3|x|

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Question

y=|x|

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\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x+6|-6

\newline

y=|x-6|-6

\newline

y=|x|-6

\newline

y=|x+6|

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Question

y=|x|

is reflected across the

x

-axis and then scaled vertically by a factor of

\frac{1}{4}

\newline

What is the equation of the new graph?

\newline

1

\newline

y=-4|x|

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y=|x|-4

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y=|x-4|

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Question

y=|x|

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\newline

What is the equation of the new graph?

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y=|x+9|

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y=|x|+9

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Posted 4 months ago

Question

\begin{array}{l} y=\frac{1}{3} x+5 \\ y=2 x \end{array}

\newline

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Question

\frac{1}{3} x+3 y=4

\newline

2 x-4=2 y

\newline

Consider the given system of equations. If

(x, y)

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x-y

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