Question

How many times does the graph of y = x + 1 intersect the graph of `y = x^2 + 3`?

Answer 1

They never intersect.

Explanation:

Let's solve the system and see!

`x + 1 = x^2 + 3`

`0 = x^2 - x + 2`

Now we apply the discriminant (the question asks how many solutions, not what they are).

`X = b^2 - 4ac`

`X = (-1)^2 - 4(1)(2)`

`X = -7`

Since `-7< 0`, this system has no real solutions--the graphs never intersect. We can confirm this by graphing both functions on the same grid.

Hopefully this helps!

Answer 2

the answer is no intersect between two equation

Explanation:

because intersect means that ther is same Y between `y=x+1`
and `y=x^2+3` so if they intersect there is someting same y
so, lets think `x+1`= `x^2+3` this eaquation could be `x^2-x+2` but we can't fint the `x` and that means no same y from the insertion of the x

do you under stand?