The sketch shows the graph of $y = ka^{-x}$ . The points A (−1, 6) and B (0, 3) lie on the graph. Find the value of k and of a. Answer k = ... a = ...

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Worked solution

1. Use point B to find $k$.

Since $B(0,3)$ lies on $y=ka^{-x}$ ,
$3=ka^{-0}$
$3=k\times 1$
$k=3$

2. Use point A and the value of $k$ to find $a$.

Since $A(-1,6)$ lies on the graph,
$6=3a^{-(-1)}$
$6=3a^1$
$a=2$

Answer

$k=3$

$a=2$

AI analysis — may contain mistakes.

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