anonymous
  • anonymous
In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I believe the vertical shift is down 5, but I don't know about the horizontal shift.
amistre64
  • amistre64
when does the argument for sin equal zero?
amistre64
  • amistre64
in other words y = sin(x) is the parent function its 'center' is defined when x=0 to know how for it shifts on the x axis, the argument of x gets adjusted to read: 2x+pi so when does 2x+pi = 0?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
wait, sorry. this lesson confused me a lot. am i supposed to get x alone in 2x+pi=0?
amistre64
  • amistre64
yes
anonymous
  • anonymous
so it would be x= -pi/2 ?
amistre64
  • amistre64
correct so our normal value at x=0, has now been shifted over to x=-pi/2
anonymous
  • anonymous
so the answer would be down 5 and left pi/2?
amistre64
  • amistre64
yep
anonymous
  • anonymous
alright thank you! do you think you could help me with one more problem?
amistre64
  • amistre64
one more, sure, if my sanity holds
anonymous
  • anonymous
Which of the following functions has the greatest y-intercept?
amistre64
  • amistre64
tell me your thoughts on how to approach it
anonymous
  • anonymous
i honestly have no idea i'm sorry. please don't lose your sanity lol
amistre64
  • amistre64
what would you say is the value of x for all points on the y axis?
anonymous
  • anonymous
doesn't the x value vary depending on what the y is?
amistre64
  • amistre64
|dw:1433275550605:dw| where do we generally put the y axis? for what value of x does it pass thru?
amistre64
  • amistre64
do not confuse a function, for how we measure the function. the function is a curve, for a given value of x, we can measure how far the curve is from the x axis, by comparing it against the y axis. say we have a function that measures the height of a tree at a given day. the tree is the object that we are measuring (it is the function) the height of the tree is NOT the function, it is how we are measuring it. (the y axis)
amistre64
  • amistre64
if we want to know WHERE the function intersects (crosses over or hits) the y axis ... we should be cognizant of where the y axis is to start with. right?
anonymous
  • anonymous
the y axis usually passes through the 0 on the x axis
amistre64
  • amistre64
got caught in a spin cycle ... but yes, it passes thru where x=0
amistre64
  • amistre64
so, lets compare our functions, when x=0
amistre64
  • amistre64
|dw:1433276240758:dw|
anonymous
  • anonymous
so for the table, x=0 when y=0?
amistre64
  • amistre64
more appropriately: y=0, when x=0, but yeah
anonymous
  • anonymous
so the y-intercept of the f(x) table is 0?
amistre64
  • amistre64
correct: f(0) = 0 g(0) is what?
anonymous
  • anonymous
would it be -3? i think the number at the end is the y-intercept but i'm not sure
amistre64
  • amistre64
its not the number on the end, is the value when x=0 which in this particular case g = 4 sin(4x) - 3 g = 4 sin(0) - 3 g = 0 - 3 is -3, but dont go by "last term", its not a good conjecture.
amistre64
  • amistre64
what is the y intercept of: y = 2cos(x) + 1 ??
anonymous
  • anonymous
3?
amistre64
  • amistre64
yep, so "the last term" is not a valid approach is it?
anonymous
  • anonymous
no, i see now though. so the y-intercept of f(x) would be the answer to that one?
amistre64
  • amistre64
0 is more than -2, yes g(0) < f(0) -2 < 0
amistre64
  • amistre64
or -3 depending on what keys we want to hit ...
anonymous
  • anonymous
haha i understood it! thanks a lot for your help. i'm not too great with math but you were really patient so thank you!
amistre64
  • amistre64
good luck :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.