Question 138578: f(x)=16x^2+40x+25
What is the y-intercept?
What is the x-intercept?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! The y-intercept is the point where the curve crosses the y-axis, all of the x-coordinates of points on the y-axis are 0, so just evaluate f(0) (substitute 0 for x in your function and do the arithmetic) The y-intercept will be the ordered pair (0,b) where b is the result of your evaluation of f(0).
The x-intercepts are the points where the curve intersects the x-axis. These are the values of x that make the value of the function be zero. So just set the function equal to zero and solve the quadratic. The x-intercepts will be ordered pairs of the form (a,0) where a is a root of the quadratic equation. Hint: this quadratic is a perfect square so you will only have one intercept.
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