Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Determine the value of
y, if
x is 7.

y=|x|-10
Answer:

Determine the value of $y$ , if $x$ is $7$ . $\newline$ $y=|x|-10$ $\newline$ Answer:

View step-by-step help

View step-by-step help

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

Full solution

Q. Determine the value of

y

, if

x

is

7

.

\newline

y=|x|-10

\newline

Answer:

Substitute $x$ into function: Substitute the value of $x$ into the function. $\newline$ We are given the function $y = |x| - 10$ and we need to find the value of $y$ when $x$ is $7$ . $\newline$ Substitute $x = 7$ into the function: $\newline$ $y = |7| - 10$
Calculate absolute value: Calculate the absolute value of $x$ . The absolute value of $7$ is $7$ , because $7$ is already a positive number. $y = 7 - 10$
Perform subtraction: Perform the subtraction to find the value of $y$ . $\newline$ Now we subtract $10$ from $7$ to get the value of $y$ : $\newline$ $y = 7 - 10$ $\newline$ $y = -3$

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

Question

g(x)

g(x)

is the translation

2

f(x) = |x|

\newline

Write your answer in the form

a|x - h| + k

a

h

k

\newline

g(x) =

\newline

Posted 6 months ago

Question

g(x)

g(x)

is the reflection across the

y

f(x) = |x|

\newline

Write your answer in the form

a|x - h| + k

a

h

k

\newline

g(x) =

\newline

Posted 10 months ago

Question

y=|x|

is reflected across the

x

-axis and then scaled vertically by a factor of

7

\newline

What is the equation of the new graph?

\newline

1

\newline

y=7|x|

\newline

y=-7|x|

\newline

y=\frac{1}{7}|x|

\newline

y=-\frac{1}{7}|x|

Posted 10 months ago

Question

y=|x|

is scaled vertically by a factor of

6

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x-6|

\newline

y=6|x|

\newline

y=\frac{1}{6}|x|

\newline

y=\left|x-\frac{1}{6}\right|

Posted 9 months ago

Question

y=|x|

is scaled vertically by a factor of

\frac{1}{3}

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x|-3

\newline

y=-3|x|

\newline

y=\frac{1}{3}|x|

\newline

y=|x|-\frac{1}{3}

Posted 10 months ago

Question

y=|x|

is shifted to the left by

6

\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|

Posted 9 months ago

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|

\newline

y=|x|-4

\newline

y=-\frac{1}{4}|x|

\newline

y=|x-4|

Posted 10 months ago

Question

y=|x|

is shifted down by

9

\newline

What is the equation of the new graph?

\newline

1

\newline

y=|x|-9

\newline

y=|x+9|

\newline

y=|x|+9

\newline

y=|x-9|

Posted 1 year ago

Question

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

\newline

Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

y+x

Posted 5 months ago

Question

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

\newline

2 x-4=2 y

\newline

Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

x-y

Posted 4 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant