Question

how many times does the graph of y=x^2+1 cross the x-axis?

Answer 1

Remember the standard form of a parabola: y=m(x-h)^2+k. In your question, you'll have m=1, which is positive, so the parabola opens upwards. h=0, and k=1 so the vertex of the parabola will be at (0,1). Now, you know the vertex is one unit above the x-axis and the parabola opens upward. Does the graph cross the x axis at all?

Answer 2

yea

Answer 3

Why do you say that?

Answer 4

because it only crosses one time

Answer 5

I crosses the y axis once, yes. Do you know what the graph looks like?

Answer 6

no

Answer 7

Go to fooplot.com and put your equation in and you will see.

Answer 8

ok thanks alot

Answer 9

No problem, let me know if you need any more help.

Answer 10

ok i will

Answer 11

http://tutorial.math.lamar.edu/Classes/Alg/Parabolas.aspx this might help you with understanding parabolas too.

Answer 12

ok