What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=2.5|x|?

vertical translation of 2.5 units up

vertical translation of 2.5 units down

vertical compression by a factor of 2.5

vertical stretch by a factor of 2.5

Question

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=2.5|x|?

vertical translation of 2.5 units up

vertical translation of 2.5 units down

vertical compression by a factor of 2.5

vertical stretch by a factor of 2.5

dude · Answer

Ideas?

Written as $y=a|x-b|+c$

a controls the stretch/shrink

bill533 · Answer

i'm suggesting as the answer is B

bill533 · Answer

It moves the graph down the y-axis by 2 units RIGHT

dude · Answer

Not quite, I just showed you a general equation (and what values affect what)

563blackghost · Answer

$\large\bf{Stretch: a>1}$
$\large\bf{Compression:a<1}$

bill533 · Answer

ok B, D, and A is out of the question right

dude · Answer

A and B can be eliminated

dude · Answer

Its either C or D, use what ghost told you to figure out the answer

dude · Answer

$\large\bf{Stretch: a>1}$
$\large\bf{Compression:a<1}$

2.5 is $\bf greater$ than 1, so its a stretch

bill533 · Answer

D.

dude · Answer

Yep

bill533 · Answer

dude · Answer

1. Get the points
2. Multiply the points by 2
3. Plot the new points

bill533 · Answer

10