Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax)$.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $f(x+a)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(x+a)$.

Finding the transformation of a function $f(x)=\frac{nx^2}{x+c}$ to $f(x+a)$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(x+n)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(x+a)$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $f(ax)+b$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $af(bx)$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $af(x+b)$.

Finding the transformation of a function of the form $f(x)=\frac{mx+c}{x^2-d}$ to $f(ax+b)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax)+b$.

Finding the transformation of a linear function $f(x)=mx+c$ to $af(bx)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $af(x+b)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax+b)$.

sin horizontal shifted Working 1_11_16

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

First compute matrix times vector for specific vectors. Then determine domain and codomain and general formula for the matrix transformation defined by the matrix.

First compute matrix times vector for specific vectors. Then determine domain and codomain and general formula for the matrix transformation defined by the matrix.

Randomising the number of rows in the matrix, m, makes the marking algorithm for part c) slightly complicated: it checks whether it should include the third gap or not depending on the variable m. For the correct distribution of marks, it is then necessary to do "you only get the marks if all gaps are correct". Otherwise the student would only get 2/3 marks when m=2, so the third gap doesn't appear.

First compute matrix times vector for specific vectors. Then determine domain and codomain and general formula for the matrix transformation defined by the matrix.

Randomising the number of rows in the matrix, m, makes the marking algorithm for part c) slightly complicated: it checks whether it should include the third gap or not depending on the variable m. For the correct distribution of marks, it is then necessary to do "you only get the marks if all gaps are correct". Otherwise the student would only get 2/3 marks when m=2, so the third gap doesn't appear.

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Identify the plane transformation performed to create a given diagram.