Question

Which functions have graphs that are less steep than the graph of f(x)= -4x^2

SELECT EACH CORRECT ANSWER

m(x)=5x2

k(x)=4x2

h(x)=−3x2

j(x)=−x2

g(x)=−5x2

Answer 1

tTese are all parabolas   whose axis of symmetry  is the y  axis. The negative coefficient means they open downwards and the positive mean they open upwards. The higher the absolute value of the coefficient is the greater the slope, so  2x^2 will be steeper than x^2  and -4x^2 will be steeper than - 2x^2.

So h(x) and j(x)  are the answers.