Question

How are the graphs affected when constants or coefficients are added to the parent quadratic equations?

Answer 1

try playing with these sliders:

https://www.desmos.com/calculator/az06tms4wa

Answer 2

Is it saying that when you add constants, the units are either raised or lowered? @sillybilly123

Answer 3

yes (!!)

\(y = ax^2 + bx + c \implies y - c = ax^2 + bx\)

So that constant c just moves the graph up and down in vertical y-direction.

So, for example, you could use a new y axis axis each time with \(Y = y - c\) to get \(Y = ax^2 + bx \).