Question

Determine the y-intercept of the quadratic function f(x) = x^2 + 8x – 13.

PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!!! THANK YOUUUU!!!!

Answer 1

Hello!

Answer:

`\Large \boxed{\sf (0, -13) }`

Explanation:

→ We want to find the y-intercept of quadratic function f(x) = x² + 8x - 13.

→ The y-intercept of a function is the point of intersection between the function and the y-axis.

→ This happens when x is zero. So to find the y-intercept of f(x), we will set x to zero and solve for y:

`\sf f(0) = 0^2 + 8(0) - 13\\\\= 0 + 0 - 13\\\\= -13`

Conclusion:

The y-intercept of the quadratic function f(x) = x^2 + 8x – 13 is (0, -13).