Order the group of quadratic functions from widest to narrowest graph.
Y=7x^2 y-1/5x^2 y=-1/3x^2
To determine the widest to narrowest graph among the given quadratic functions, we need to compare their leading coefficients. The leading coefficient controls the width of the parabola.
The given quadratic functions are:
1. y = 7x^2
2. y = -1/5x^2
3. y = -1/3x^2
Comparing the leading coefficients:
1. Leading coefficient of y = 7x^2 is 7.
2. Leading coefficient of y = -1/5x^2 is -1/5.
3. Leading coefficient of y = -1/3x^2 is -1/3.
Now, let's arrange them from widest to narrowest:
Widest graph: y = 7x^2 (leading coefficient = 7)
Middle graph: y = -1/5x^2 (leading coefficient = -1/5)
Narrowest graph: y = -1/3x^2 (leading coefficient = -1/3)
Therefore, the quadratic functions ordered from widest to narrowest graph are:
y = 7x^2, y = -1/5x^2, y = -1/3x^2.