Graph y = 4x – 3 as a translation of its parent function.
@Mehek14
@sleepyjess
@ILovePuppiesLol
parent function?
yes
@ILovePuppiesLol
@Preetha
@myininaya
@Michele_Laino
Is there a stretch from the parent function? Is there a shift from the parent function? Is there a reflection from the parent function to this function?
How would i know that?
\[y=f(x) \text{ let's call this the parent function } \\ \] \[\text{ Let } c>0 \\ y=f(x+c) \text{ shifts the graph of } f(x) \text{to the left } c \text{ units } \\ y=f(x-c) \text{ shifts the graph of } f(x) \text{ to the right } c \text{ units }\] \[y=f(x)+c \text{ shifts the graph of } f(x) \text{ up } c \text{ units } \\ y=f(x)-c \text{ shifts the graph of } f(x) \text{ } c \text{ units down }\] so do you think you have any kind of shift? also do you know the parent function?
down
\[y=K f(x) \text{ then } \\ \text{ if } K>1 \text{ then the graph of } f(x) \text{ is stretched in the } y-\text{ direction } \\ \text{ if } 0<K<1 \text{ the graph of } f(x) \text{ is compressed }\]
If K is negative that will involved a reflection too
https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgj3DsC1MYvEB.QYvxALS0llKhWQoJUZakwC/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l4%203.jpg https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgj3DsC1MYvEB.QYvxALS0llKhWQoJUZakwC/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l4%201.jpg https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgj3DsC1MYvEB.QYvxALS0llKhWQoJUZakwC/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l4%204.jpg https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgj3DsC1MYvEB.QYvxALS0llKhWQoJUZakwC/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l4%202.jpg These are my options
So do you know the parent function of y=4x-3 ?
hmm... none of those are the answer...
no i dont im still kinda confused
Thats why im confused
just so you know you posted "Graph y=4x-3 ..."
this is a line none of those are lines
Graph y = 4^x – 3 as a translation of its parent function. sorry the x is an exponent
@myininaya
do you know what the graph of y=4^x looks like?
if not you might remember what the graph of y=e^x looks like?
draw either and move the graph 3 units down as you suggested earlier what graph in your options is most close to what you drew ?
so what option would it be
yep that works
so what option would it be? for the parent
or we suppose to graph the parent function or graph y=4^x-3 using the parent function?
the directions say graph y=4^x-3 ....
Graph y = 4^x – 3 as a translation of its parent function.
the parent function looks like this: |dw:1464201145432:dw|
if you drag that down 3 units what do you get
the graph you posted
ok thank you
can you help me with a few more problems?
maybe
ok want me to just keep this post going?
Solve the question below. https://api.agilixbuzz.com/Resz/~Ey6YBAAAAAgj3DsC1MYvEB.QYvxALS0llKhWQoJUZakwC/19809088,B84/Assets/assessmentimages/alg%202%20pt%202%20u4l2%202.jpg –217 6 –6 –343
@myininaya
sorry someone else hit me up just now
ok so you cant help or you can?
can you just help me really quick
we can skip a lot of work if you know that f(g(x))=x where f and g are inverses
ok so what would my answer be?
ok if you don't know how to use that then find the inverse function of g
that is solve \[y=\sqrt[3]{x+1}\] for x
what is the inverse?
I dont really know how to solve that
@myininaya
can you try cubing both sides and see what happens
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