or

Question

Findthe
y -intercept
oftheparabolay = x2 − 5x.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the y-intercept of the parabola given by the equation \( y = x^2 - 5x \), we need to evaluate the equation when \( x = 0 \).

Substituting \( x = 0 \) into the equation:

\[ y = (0)^2 - 5(0) = 0 - 0 = 0 \]

Thus, the y-intercept is \( y = 0 \).

So, the answer is:

\[ (0, 0) \] which indicates that the parabola intersects the y-axis at the origin.