RURCI
Curves – Version A

Click on the button with the correct answer.


Question 1
  The straight line with slope 3 passing through the point (1, –2) is
y = 3x – 1
y = 3x 2 – 1
y = 3x 2 – 5
y = 3x – 5

Question 2
  The curve y = –x 2 + 2x + 3
1) Is a parabola opening upwards.
2) Is a parabola opening downwards.
3) Crosses the x–axis at 1 and –3.
4) Crosses the x–axis at –1 and 3.
5) Has a vertex at x = 1.
6) Has a vertex at x = 2.
The true statements are:
1, 3, and 6
2, 4, and 5
1 and 4
2 and 3

Question 3
  The equation of the circle, center (3, –5) with radius 4, is
(x – 3) 2 + (y + 5) 2 = 4
(x – 3) 2 + (y + 5) 2 = 16
(x + 3) 2 + (y – 5) 2 = 4
(x + 3) 2 + (y – 5) 2 = 16

Question 4
  The curve y = x 3 – 4x crosses the x–axis at
x = O, 4
x = –2, O, 2
x = O, 2
x = –2, 2

Question 5
  The circle with radius 5, and center on the y–axis at y = 4, cuts the x–axis at
x = –1, 1
x = –2, 2
x = –3, 3
Doesn't cut the x–axis.

Question 6
  The curves y = x 2 and y = x + 6 intersect at
x = –3, –2
x = 2, 3
x = –3, 2
x = –2, 3

Question 7
  The curves y = x 1/2 and y = –x + 6 intersect at
x = 4, 9
x = 4
x = 9
They do not intersect.

Question 8
  The curves y = x 3 – 2x 2 and y = 2x 2 – 3x intersect at
x = 1, 3
x = 3/2, 2
x = O, 1, 3
They do not intersect.

Question 9
  The curves (x – 1) 2 + (y + 1) 2 = 4 and y = 2x – 1 intersect at
x = –3/5, –1
x = –3/5, 1
x = –1, 3/5
They do not intersect.

Question 10
  The curves x 2 + y 2 = 1 and y = x – 2 intersect at
x = –1, 1
x = –2
x = 2
They do not intersect.