Consider the functions.

f(x)=4x2
g(x)=154x2
h(x)=415x2

how do the graphs of these function compare to one another?

select true or false for each statement.

The answers for the three statements are true, false and false.

Step-by-step explanation:

The steepness of a curve is measured by the slope of that curve.

We are given three parabolic curves of the form y = k

The slope at each point would depend on the k term.

So the curve with higher value of k will be having higher slope and the curve will be steeper.

f(x) = 4

g(x) =

h(x) =

(a)f(x) is steeper than h(x) because k value is higher for f(x).

(b)h(x) is not steeper than g(x).

(c)g(x) is not steeper than f(x) because the k value is lesser.

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