160k views
3 votes
What shape will the graph of y=x²+2 be? How can you tell. justify your prediction by making a table and graphing y=xsquare+2 on graph paper.

User Mae
by
7.7k points

1 Answer

2 votes

The shape of the graph of the function y = x² + 2 is a parabola that opens up i.e. the u-shape

What shape will the graph of the function be?

From the question, we have the following parameters that can be used in our computation:

y = x² + 2

The above function is a quadratic function

The leading coefficient is the coefficient of the x² term

So, we have

leading coefficient = 1

From the above, we can see that

The leading coefficient is positive

This means that the function is a parabola that opens up

The graph is added as an attachment as proof

What shape will the graph of y=x²+2 be? How can you tell. justify your prediction-example-1
User Vivek Hande
by
8.4k points