Question

What two transformations will you have to apply to this parabola to make it fit the suspension cables?

Answer 1

Given the figure of a parabola:

There are two transformations to make the parabola fit the suspension cables

Before starting the answer note the following:

The vertex of the parabola is the point (0, 0) and the vertex of the suspension cables is the point (2.5, 0)

So, the transformations are:

1) Translate the vertex to the right 2.5 units

2) Horizontal stretch the parabola with a factor of:

$r=\frac{1}{6.25}=0.16$

Note:

To find the factor, we will compare the points (2.5, 1) and (2.5, 6.25)