How do you graph #y=x^2 + 1#?

Answer 1

Julia Adams

The equation defines a curve.

Plotting points on the graph:

When #x=0# Then, #y=0+1# #=>y=1#

When #x=1# Then, #y=1+1# #=>y=2#

When #y=2# Then, #2=x^2+1# #=>x^2=1# #=>x=sqrt1# #=>x=+1, -1#

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Answer 2

Jace Anderson

To graph the equation y = x^2 + 1, you can start by plotting points. Choose a range of x-values, calculate the corresponding y-values using the equation, and then plot the points on a graph. Another method is to recognize that y = x^2 + 1 is a quadratic function with a vertex at (0, 1) and opens upwards. Use this information to plot the vertex and then plot additional points symmetrically around the vertex. Connect the points to sketch the parabolic curve.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.