SOLUTION: Find the intercepts of the given quadratic function. ​f(x) = 5x^2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the intercepts of the given quadratic function. ​f(x) = 5x^2      Log On


   

Question 1094712: Find the intercepts of the given quadratic function.
​f(x) = 5x^2
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
y-intercept is at x = 0.

Then f(x) = 0^2 = 0.

So, y-intercept is this point (x,y) = (0,0)   (the origin of the coordinate system).



x-intercept is at f(x) = 0,   or, which is the same,  x^2 = 0,  which gives  x = 0.
Then f(x) = 0^2 = 0.

Thus, y-intercept is this point (x,y) = (0,0)   (the origin of the coordinate system).



In this problem the point of x-intercept is the same as the point of y-intercept.