1 of 8 0-day streak

Determine the image rule of a basic function or relation

Question 1 of 8

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The reference function is \(f(x)=-x^{2}\)

Apply the coordinate transformation in the stated order

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

p'=p+\begin{pmatrix}0\\-1\end{pmatrix}

x'=u,\qquad y'=f(u) - 1

The point reserved for checking is on the reference function:

(2,-4)

(a)1 mark

Select the canonical rule after the coordinate change

g(x)=-x^{2} - 1

g(x)=-x^{2} + 2x - 1

g(x)=-x^{2} + 1

(b)3 marks

Fill the remaining parameters of the image equation

g(x)=c_2x^2+c_1x+c_0

\(c_0\) \(c_1\) \(c_2\)

Verify the coordinate map at the listed reference point

The reference point is \((2,-4)\). Enter \(y'\)

\(y'\)