3.2 Algebra and Functions (A-level only)

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Question 124

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 $P$ .

[2]

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.

[3]

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.

[6]

3.2 Algebra and Functions (A-level only)

Question 124

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 $P$ .

[2]

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.

[3]

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.

[6]

3.2 Algebra and Functions (A-level only)

Question 124

Markscheme

3.2 Algebra and Functions (A-level only)

Question 124

Markscheme

3.2 Algebra and Functions (A-level only)

Question 124

3.2 Algebra and Functions (A-level only) Questions

3.2 Algebra and Functions (A-level only)

Question 124

3.2 Algebra and Functions (A-level only) Questions