Question

Does the line y=5 intersect the parabola y= 4−x².Why or why not? Draw the graphs on the same set of axes.

Answer 1

Answer:No

Explanation:

given

Parabola
`y=4-x^2`

`y-4=-x^2`

It is parabola with vertex (0,4)

symmetrical about Y axis and facing downward

y= 5

`5-4=-x^2`

`x^2=-1`

not possible

So y=5 do not intersect the given Parabola as there is no real value of x which satisfy the above equation