Translations of graphs need help
Maths and statistics discussion, revision, exam and homework help.
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Translations of graphs need help
Can someone reflect these in the y-axis please?
y=2x^3+x^2-5x+1
y=3sin(x)
And can someone stretch these parallel to the x axis please
y=x^2 by scale factor 3 parallel to the x-axis
y=x^2-4x+1 by scale factor 0.5 parallel to the x axis
y=3sin(x) by scale factor 1/5 parallel to the x-axis
45 minutes ago
- 4 days left to answer. -
Re: Translations of graphs need help
A reflection in the y axis is to swap around the positive and negative sides of the x axis.
To stretch f(x) by a factor of a along the x axis, you need f(x) to come at a*x, hence you get the stretch being f(x/a). The division by a means x has to be a times as large to get the same value of f. -
Re: Translations of graphs need helpGenerally:(Original post by iceman95)
Can someone reflect these in the y-axis please?
y=2x^3+x^2-5x+1
y=3sin(x)
And can someone stretch these parallel to the x axis please
y=x^2 by scale factor 3 parallel to the x-axis
y=x^2-4x+1 by scale factor 0.5 parallel to the x axis
y=3sin(x) by scale factor 1/5 parallel to the x-axis
45 minutes ago
- 4 days left to answer.
let
THen
Reflection in the y-axis:
Reflection in the x-axis:
Translating by 'a' parallel to the x:
Translating by 'a' parallel to the y:
Streching by scale factor 'a' parallel to x:
Streching by scale factor 'a' parallel to y:
F.e for 2nd

for 4th
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Re: Translations of graphs need helpHow can I reflect y=2x^3+x^2-5x+1 into the y-axis?(Original post by ztibor)
Generally:
let
THen
Reflection in the y-axis:
Reflection in the x-axis:
Translating by 'a' parallel to the x:
Translating by 'a' parallel to the y:
Streching by scale factor 'a' parallel to x:
Streching by scale factor 'a' parallel to y:
F.e for 2nd

for 4th