1 of 8 0-day streak

Determine the image rule of a basic function or relation

Question 1 of 8

No calculator

The reference function is \(f(x)=2x\)

Apply the coordinate transformation in the stated order

The map is a vertical translation. Write it in translation form

p'=p+\begin{pmatrix}0\\-2\end{pmatrix}

x'=u,\qquad y'=f(u) - 2

The point reserved for checking is on the reference function:

(-1,-2)

(a)1 mark

Identify the equation of the image relation in its simplified form

g(x)=2x - 2

g(x)=2x - 4

g(x)=2x + 2

(b)2 marks

Record the exact coefficient values for the image relation

g(x)=c_1x+c_0

coefficient or parameter	value
\(c_0\)	?
\(c_1\)	?

\(c_0\) \(c_1\)

Use the exact point check to confirm the selected rule

The reference point is \((-1,-2)\). Enter \(y'\)

\(y'\)