The height of a drone path during a test flight is modeled by the function $y = f (x)$ , where

f (x) = ∣4 x + 3 k ∣ + k

and where $k$ is a positive constant and $x$ is the horizontal distance from a start point. The graph of $y = f (x)$ has a vertex at the point $P$ .

Find, in terms of $k$ , the coordinates of $P$ .

Sketch the graph with equation $y = g (x)$ , where $g (x) = ∣ x - 5 k ∣$ . On your sketch, show the coordinates, in terms of $k$ , of each point where the graph cuts or meets the coordinate axes.

The drone path with equation $y = f (x)$ is monitored by a sensor following the path $y = g (x)$ . The paths intersect at two points.

Find, in terms of $k$ , the coordinates of these two intersection points.

The height of a drone path during a test flight is modeled by the function $y = f (x)$ , where

f (x) = ∣4 x + 3 k ∣ + k

and where $k$ is a positive constant and $x$ is the horizontal distance from a start point. The graph of $y = f (x)$ has a vertex at the point $P$ .

Find, in terms of $k$ , the coordinates of $P$ .

Sketch the graph with equation $y = g (x)$ , where $g (x) = ∣ x - 5 k ∣$ . On your sketch, show the coordinates, in terms of $k$ , of each point where the graph cuts or meets the coordinate axes.

The drone path with equation $y = f (x)$ is monitored by a sensor following the path $y = g (x)$ . The paths intersect at two points.

Find, in terms of $k$ , the coordinates of these two intersection points.

1 Pure Mathematics

Question 334

Markscheme

1 Pure Mathematics

Question 334

Markscheme

1 Pure Mathematics

Question 334

1 Pure Mathematics Questions

1 Pure Mathematics

Question 334

1 Pure Mathematics Questions