Question

Can someone let me know if my answer is correct? I can provide the answers if needed.
1. Describe how the graph of y=|x| and y=|x| - 15 are related?
My answer: The two graphs have the same y-intercept. The second graph is steeper than y=|x|.

Answer 1

If the graphs have the same y intercept, this means that when x=0 the y values are the same. Are they the same in this case?

Answer 2

So the answer would be the two graphs are the same in this case, correct? @tom982

Answer 3

No, just think about it :) Regardless of the value of x we put into the equation, the y value is always going to be 15 units lower in y=|x|-15 than it is in y=|x|.

Answer 4

The absolute value would follow the same rule for what is inside and outside the parenthesis.

\(\large\color{ blue }{\large {\bbox[5pt, lightyellow ,border:2px solid white ]{ \large\text{ }\\
\begin{array}{|c|c|c|c|}
\hline~~~~~~~~~~~~~~~~~~~~~~~~~~~\textbf{Shifts}~~~~~~~~~~~~~~~~~~~~~~~~~~~&~\bf{c~~~units~~~~} \\
\hline
\\f(x)= ∜x ~~~ ⇒ ~~~ f(x)= \sqrt[4]{x \normalsize\color{red }{ -~\rm{c}} } &~\rm{to~~the~~right~} \\
\text{ } \\
f(x)= ∜x ~~~ ⇒ ~~~ f(x)= \sqrt[4]{x \normalsize\color{red}{ +~\rm{c}} } &~\rm{to~~the~~left ~} \\
\text{ } \\
f(x)= ∜x ~~~ ⇒ ~~~ f(x)= ∜x \normalsize\color{red}{ +~\rm{c} } &~\rm{up~} \\
\text{ } \\
f(x)= ∜x ~~~ ⇒ ~~~ f(x)= ∜x \normalsize\color{red}{ -~\rm{c} } &~\rm{down~} \\ \\
\hline
\end{array} }}}\)

Answer 5

dang question marks. Hell no!

Answer 6

Thanks @tom982 I believe I have the answer, sorry for my slowness :)
Thank you lol @SolomonZelman

Answer 7

Anytime... I am also slow...
everyone one is slow in one subject or the other:)

Answer 8

@Brielani, no problem, we were all beginners once. Glad you understand it though.