1. y = x2 + 8x + 15
find the zeros of the function by rewriting the function in intercept form

The zeros of given function is – 5 and – 3

Solution:

We have to find the zeros of the function by rewriting the function in intercept form.

By using intercept form, we can put value of y as  to obtain zeros of function

We know that, intercept form of above equation is

Taking “x” as common from first two terms and “3” as common from last two terms

x (x + 5) + 3(x + 5) = 0

(x + 5)(x + 3) = 0

Equating to 0 we get,

x + 5 = 0 or x + 3 = 0

x = - 5 or – 3

Hence, the zeroes of the given function are – 5 and – 3

it would open into a square depending on the type of envelope i’m not sure about the second part