IB Mathematics Applications & Interpretation Topic…

the graph of $f(x)$ for $0\leq x\leq 2$ .

Let . the graph of for .

Given $h(x)=\sqrt{x+1}$ .

A temperature sensor has a response curve $y=f(x)$ , where $x$ is the temperature in $^\circ\text{C}$ and is the output signal in mV. After recalibration, the relationship is modelled by .

For a set design, $f(x)=\sqrt{x}$ and .

Let $f(x) = x^{2}$ and $g (x) = 2 (x - 1)^{}$ .

Write down the equation of $j(x)$ if it represents $h(x)$ reflected in the $x$ -axis.

Write down the equation of $g(x)$ if it represents $h(x)$ reflected in the $y$ -axis.

the transformations applied to $h(x)$ to obtain $f(x)=-\sqrt{-x+1}$ .

the effect of the transformation $y=f(x-3)$ on the graph of $y=f(x)$ .

the effect on the $y$ -coordinates of multiplying by 2 and then adding 4, as in $y=2f(x)+4$ .

Find the coordinates of the image of $A$ on the graph of $y=2 f(x-3)+4$ .

the coordinates of the point on $y=f(x)$ that corresponds to the point $(5,14)$ on the graph of $y=2 f(x-3)+4$ .

The graph of $g$ can be obtained from the graph of $f$ using two transformations. the two transformations that map the graph of $f$ to the graph of $g$ .

The graph of $g$ is translated by the vector $\begin{pmatrix}-7\\8\end{pmatrix}$ to give the graph of $h$ . The image of the point on the graph of under these transformations is the point on the graph of . Find the coordinates of .

The graph of $g$ can be obtained from the graph of $f$ using two transformations. the two transformations that map the graph of $f$ to the graph of $g$ .

The graph of $g$ is translated by the vector $\begin{pmatrix} 3 \\ -2 \end{pmatrix}$ to give the graph of $h$ . The image of the point on the graph of under these transformations is the point on the graph of . Find the coordinates of .

IB Mathematics Applications & Interpretation AHL 2.8—transformations of Graphs, Composite Transformations Questionbank

IB Mathematics Applications & Interpretation AHL 2.8—transformations of Graphs, Composite Transformations Questionbank

IB Mathematics Applications & Interpretation AHL 2.8—transformations of Graphs, Composite Transformations Questionbank

IB Mathematics Applications & Interpretation AHL 2.8—transformations of Graphs, Composite Transformations Questionbank

IB Mathematics Applications & Interpretation (AI) Topic AHL 2.8—transformations of Graphs, Composite Transformations Questionbank