Question

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

Answer 1

Answer:

g(x)=−4x^2  and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number.  If this number is between 0 and 1, the graph will be stretched horizontally.  If this number is greater than 1, the graph will be shrunk horizontally.  If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others.  This is m(x)=4x^2  and g(x) = -4x^2.