Gerard Sayson TMUA Mock Paper 1 · Question 4

Community mocks

Gerard Sayson TMUA Mock Paper 1 · Q4

Paper 1Functions & graphsAlgebra

The function $f$ is given as $f(x)=x^2+6x+12$ .

Let $g$ be such that its graph is the clockwise rotation of the graph of $y=f(x)$ by $135^\circ$ about the origin.

What equation is satisfied by $g(y)=x$ ?

y^2+6y-x+12=0

x^2+2xy-7\sqrt2\,x+y^2-5\sqrt2\,y+24=0

x^2-2xy-5\sqrt2\,x+y^2+7\sqrt2\,y+24=0

x^2-2xy+7\sqrt2\,x+y^2-5\sqrt2\,y+24=0

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.