Question

In order for a quadratic to have a vertical compression, what can be said of the a control

value

Answer 1

The function will have a vertical compression when 0 < α < 1

Explanation:

The vertex form of a quadratic function showing the factors of the transformation of the function, is presented as follows;

`f(x) = a \cdot \left((x)/(c) - h \right)^2 + k`

The vertical scaling of the function (compression and stretching) is given by the value of the α control coefficient

A vertical stretch occurs when α > 1, while a vertical compression occurs when 0 < α < 1

Therefore, in order for a quadratic function to have a vertical compression, 0 < α < 1.