Question 223443
can't help with the calculator, but ...


this is a parabola that opens upward
because there is no 1st order x-term, the graph is centered on the y-axis


the domain (possible x-values) is all real numbers


the range (possible y-values) is all real numbers >= -4
this is because the 5x^2 term is always >= 0


the function is decreasing from -∞ > x > 0, and increasing from 0 > x > ∞


the maximum is f(x) = ∞ and the minimum is f(x) = -4 (the min is also the y-intercept; and the vertex (0,-4))


the x-intercepts (or zeros or roots) are ±2√5 / 5


not sure about "transformations" and "end behavior"


just plug the x-values into the equation to get the y-values for the chart