The quadratic function that has the given x-intercepts is y = x^2 - 4x - 5, the one in option A.
Which of the quadratics has x-intercepts at x = 5 and x = -1?
The x-intercepts of a function are the values of x where the function becomes equal to zero.
So, we can just evaluate all the given functions in these two values of x, and see which one becomes zero for the two values.
A) y = x^2 - 4x - 5
Evaluating in x = 5 we get:
y = 5^2 - 4*5 - 5 = 25 - 20 - 5 = 0
Evaluating in x = -1 we get:
y = (-1)^2 - 4*-1 - 5 = 1 + 4 - 5 = 0
So both x = 5 and x = -1 are x-intercepts of this function.
We have already proven that the correct option is y = x^2 - 4x - 5, which is option A.
If you want to learn more about parabolas, you can read:
https://brainly.com/question/1480401
