Easy -1.8 This is a straightforward recall question about function transformations requiring only knowledge that y = f(x+a) represents a horizontal translation of -a units. It's multiple choice with 1 mark, testing basic AS-level content with no problem-solving or calculation required—significantly easier than average A-level questions.
The curve \(y = \sqrt{x}\) is translated onto the curve \(y = \sqrt{x + 4}\)
The translation is described by a vector.
Find this vector.
Circle your answer.
[1 mark]
\(\begin{bmatrix} 4 \\ 0 \end{bmatrix}\) \(\begin{bmatrix} -4 \\ 0 \end{bmatrix}\) \(\begin{bmatrix} 0 \\ 4 \end{bmatrix}\) \(\begin{bmatrix} 0 \\ -4 \end{bmatrix}\)
The curve $y = \sqrt{x}$ is translated onto the curve $y = \sqrt{x + 4}$
The translation is described by a vector.
Find this vector.
Circle your answer.
[1 mark]
$\begin{bmatrix} 4 \\ 0 \end{bmatrix}$ $\begin{bmatrix} -4 \\ 0 \end{bmatrix}$ $\begin{bmatrix} 0 \\ 4 \end{bmatrix}$ $\begin{bmatrix} 0 \\ -4 \end{bmatrix}$
\hfill \mbox{\textit{AQA AS Paper 1 Q1 [1]}}