Draw the graph of the following function:

$y=-x^2$.

What do you think a negative scale factor indicates? Explain.

Describe the transformation that has been performed in the diagram and express it using correct arrow notation.  

Find the scale factor of dilation (with centre at the origin) if point $E\left(48,-20\right)$ becomes $E\text{'}\left(12,-5\right)$? And, write its notation.

Using a dilation of scale factor $\frac{1}{3}$, with centre at the origin, find the coordinates of the image $B’$ of the point $B(-12,27)$?

Find the scale factor of dilation (with centre at the origin) if point $F\left(0,-70\right)$ becomes $F\text{'}\left(0,21\right)$? And, Write using correct notation.

The graph of $y=f\left(x\right)$ is symmetrical about the line $x=1$, then

Using a dilation of scale factor $4$, with centre at the origin, find the coordinates of the image $A’$ of the point $A(3,-7)$?

What is the scale factor of dilation (with center at the origin) if the image of point $T(6,-18)$ is $T’(2,-6)$? (write answer in fraction)

Find the scale factor of dilation (with centre at the origin) if point $D(9,13)$ becomes $D’(27,39)$? And, write its correct notation.

Find the scale factor of dilation (with centre at the origin) if point $F\left(0,-70\right)$ becomes $F\text{'}\left(0,21\right)$? (write answer in fraction)

Find the scale factor of dilation (with centre at the origin) if point $E\left(48,-20\right)$ becomes $E\text{'}\left(12,-5\right)$? (write answer in fraction)