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.

Functions and Graphs

Question 31

Markscheme

Functions and Graphs

Question 31

Markscheme

Functions and Graphs

Question 31

Functions and Graphs Questions

Functions and Graphs

Question 31

Functions and Graphs Questions