Question

Each figure below is the graph of a quadratic equation. The scale on each axis in each of the graphs is the same. List the letters that correspond to the graphs in order of increasing coefficients of x2. Give an explanation for your response.
a https://speedwaycourses.austin.utexas.edu/speedway-files/pilot/unit5/u5ga1q3a.gif
b https://speedway.its.utexas.edu/speedway-files/pilot/unit5/u05ga1q3b.gif
c https://speedway.its.utexas.edu/speedway-files/pilot/unit5/u05ga1q3c.gif
d https://speedway.its.utexas.edu/speedway-files/pilot/unit5/u05ga1q3d

Answer 1

@peachpi

Answer 2

@peachpi

Answer 3

the coefficients these quadratics are the 'a's in the

y = ax^2

of each graph

Answer 4

when 'a' is large in magnitude, the parabolas are very steep

Answer 5

when 'a' is positive its a smiley parabola

when 'a' is negative '' frownie

Answer 6

so, for increasing coeffiecients : frowniest, to smiliest

Answer 7

so like this
f,c,a,b,e,d