Answer:
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[tex]x^{2}[/tex]
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[tex]x^{2}[/tex]
g(x) = [tex]\frac{15}{4} x^{2}[/tex]
h(x) = [tex]\frac{4}{15} x^{2}[/tex]
(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.
