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1. Would you please help me to see whether i'm tackling this problem in the right way?

It says: Find the coordinates of the points of intersection of the curve y=(x-4)^2-3 with the x-axis and the y-axis, using surds when necessary. [4]

So I made x = 0 and then said:
y=(-4)^2 - 3
y=16-3
y=13
=> the coordinates of the point of intersection of the curve with the y axis are (0,13)

then I made y=0 and formed a quadratic to find X
x^2 -8x + 13 = 0

I ended up with 4 +/- 2sqrt3

so I said coordinates of intersection with the xaxis = (4 + 2 sqrt3, 0)
or x = (4 - 2sqrt3, 0)

would this get me all 4 marks?
2. (Original post by wednesday_adams)
Would you please help me to see whether i'm tackling this problem in the right way?

It says: Find the coordinates of the points of intersection of the curve y=(x-4)^2-3 with the x-axis and the y-axis, using surds when necessary. [4]

So I made x = 0 and then said:
y=(-4)^2 - 3
y=16-3
y=13
=> the coordinates of the point of intersection of the curve with the y axis are (0,13)

then I made y=0 and formed a quadratic to find X
x^2 -8x + 13 = 0

I ended up with 4 +/- 2sqrt3

so I said coordinates of intersection with the xaxis = (4 + 2 sqrt3, 0)
or x = (4 - 2sqrt3, 0)

would this get me all 4 marks?
Absolutely spot on.
3. (Original post by wednesday_adams)
Would you please help me to see whether i'm tackling this problem in the right way?

It says: Find the coordinates of the points of intersection of the curve y=(x-4)^2-3 with the x-axis and the y-axis, using surds when necessary. [4]

So I made x = 0 and then said:
y=(-4)^2 - 3
y=16-3
y=13
=> the coordinates of the point of intersection of the curve with the y axis are (0,13)

then I made y=0 and formed a quadratic to find X
x^2 -8x + 13 = 0

I ended up with 4 +/- 2sqrt3

so I said coordinates of intersection with the xaxis = (4 + 2 sqrt3, 0)
or x = (4 - 2sqrt3, 0)

would this get me all 4 marks?

The answers for x are incorrect
4. (Original post by wednesday_adams)
Would you please help me to see whether i'm tackling this problem in the right way?

I ended up with 4 +/- 2sqrt3
x should = 4+/- sqrt3 not 4+/- 2sqrt3

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