Find the x and y intercepts of y = 2x^3 - 4x^2 algebraically

The x-intercept is the place where y = 0 and the y-intercept is the point where x = 0. Using this information, we can substitute 0 in for x and y to find the intercepts.

x-intercepts (where y = 0):

Here we can apply the Zero Product Property to find and separately.

AND

The x-intercepts are located at (0, 0) and (2, 0).

y-intercept (where x = 0):

The y-intercept is located at (0, 0).

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.