Question

Please please help!! Graphing quadratics

Original equation: f(x) = 1(x-12)squared+30
Create 2 more functions:
One that opens in the same direction and has the same vertex (12,30) but will be narrower than the original.
Another that will open in the opposite direction and have the same vertex (12,30) but will be wider than the original.

Answer 1

In the figure attached,

\[(x - 12)^2 + 30\] in Red

\[5(x - 12)^2 + 30\] in Green

\[0.5(x - 12)^2 + 30\] in Blue

Observe that you only need to change the number that multiplies the parenthesis. If the number is greater than 1 the figure is narrower, if the number is smaller than 1 the figures is wider.

Answer 2

Thanks sooo much :)

Answer 3

You're welcome.