Higher June 2017 Paper 3 Q20
20 The equation of a curve is \(y = a^x\)
\(A\) is the point where the curve intersects the \(y\)-axis.
(a) State the coordinates of \(A\). (1)
The equation of circle C is \(x^2 + y^2 = 16\)
The circle C is translated by the vector \(\begin{pmatrix} 3 \\ 0 \end{pmatrix}\) to give circle B.
(b) Draw a sketch of circle B.
Label with coordinates
the centre of circle B
and any points of intersection with the \(x\)-axis. (3)
Label with coordinates
the centre of circle B
and any points of intersection with the \(x\)-axis. (3)
| Answer | Mark | Notes |
|---|---|---|
| (0, 1) | B1 | (0, 1) |
| Answer | Mark | Notes |
|---|---|---|
| Circle radius 4 Centre (3, 0) and (−1, 0) and (7, 0) labelled | M1 | For centre (3, 0) implied by drawing or label or a circle of radius 4 or intersections on the \(x\)-axis at \(-1\) or 7 implied by drawing or labels |
| M1 | for 2 of centre (3, 0) implied by drawing or label intersections on the \(x\)-axis at \(-1\) and 7 implied by drawing or label circle drawn with radius 4 | |
| A1 | for a fully correct answer |