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AS Maths Question help- minimum point and Geometrical transformation

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1. Please can someone help with this question, kind of understand it but don't feel confident..

A) x^2 - 7x + 2 in the form (x-p)^2

I did (x - 7/2)^2 - 41/4

B) Hence write down the minimum value of x^2 - 7x + 2
Is this just -41/4? I'm not sure

C) Describe the geometrical transformation which maps the graph of x^2 - 7x + 2 onto y= (x-4)^2

I really don't understand this one, please help! Thank you
2. (Original post by jazz_xox_)
Please can someone help with this question, kind of understand it but don't feel confident..

A) x^2 - 7x + 2 in the form (x-p)^2

I did (x - 7/2)^2 - 41/4

B) Hence write down the minimum value of x^2 - 7x + 2
Is this just -41/4? I'm not sure
Perfect. I assume the question was to write it in the form (x-p)^2 + q though.

C) Describe the geometrical transformation which maps the graph of x^2 - 7x + 2 onto y= (x-4)^2

I really don't understand this one, please help! Thank you
You have . Then . So what do you need to turn f(x) into (x-4)^2?
3. (Original post by Zacken)
Perfect. I assume the question was to write it in the form (x-p)^2 + q though.
You have . Then . So what do you need to turn f(x) into (x-4)^2?
Yes that was the part A of the question I get that it needs to be a translation (I think?) but still don't understand the formatting of it. This has never been my strong point
4. (Original post by jazz_xox_)
Yes that was the part A of the question I get that it needs to be a translation (I think?) but still don't understand the formatting of it. This has never been my strong point
So, you need to do a horizontal translation to turn the x-7/2 into a x-4 that's f(x+a) and a vertical transalation to turn the -41/4 to a -0 (that's f(x) + b)

Like I referred to in my previous post, what values for a and b do you need to choose for that to happen?
5. (Original post by Zacken)
So, you need to do a horizontal translation to turn the x-7/2 into a x-4 that's f(x+a) and a vertical transalation to turn the -41/4 to a -0 (that's f(x) + b)

Like I referred to in my previous post, what values for a and b do you need to choose for that to happen?
Is it A= 1/2 and B +41/4?? Sorry if I'm completely off and thanks for your help!!
6. (Original post by jazz_xox_)
Is it A= 1/2 and B +41/4?? Sorry if I'm completely off and thanks for your help!!
Perfect! So that corresponds to a horizontal translation to the [what direction? Right or left?] by [how many?] units and a vertical translation in [what direction? up or down?] by [how many?] units.

Reminder: f(x+a) is a horizontal transaltion to the left by a units and f(x) + b is a vertical translation upwards by b units.
7. (Original post by Zacken)
Perfect! So that corresponds to a horizontal translation to the [what direction? Right or left?] by [how many?] units and a vertical translation in [what direction? up or down?] by [how many?] units.

Reminder: f(x+a) is a horizontal transaltion to the left by a units and f(x) + b is a vertical translation upwards by b units.
Yay thank you soo much! A horizontal translation to the right by 1/2 units and a vertical translation up by 41/4 units? Thanks again, you are a life saver
8. (Original post by jazz_xox_)
Yay thank you soo much! A horizontal translation to the right by 1/2 units and a vertical translation up by 41/4 units? Thanks again, you are a life saver
Perfect.
9. (Original post by Zacken)
Perfect.
Yay! I've just seen on your page that you are studying at Cambridge, wow -congratulations! Wishing you the best of luck
10. (Original post by jazz_xox_)
Yay! I've just seen on your page that you are studying at Cambridge, wow -congratulations! Wishing you the best of luck
Thank you very much.
11. (Original post by Zacken)
Thank you very much.
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