How do you graph the quadratic function y=x^{2}?

Anika Klein

Anika Klein

Answered question

2022-01-22

How do you graph the quadratic function y=x2?

Answer & Explanation

Jordyn Horne

Jordyn Horne

Beginner2022-01-23Added 16 answers

Step 1
y=x2
is arguably the simplest standard quadratic function.
We can graph the function by plotting points but it is probably more enlightening to consider a few attributes of y in relation to the general quadratic function:
ax2+bx+c
Here, a=1 and both b and c=0
The graph of any quadratic function is parabolic
Here, y=0 at x=0
And since a>0 we know that y will have a minimum value on its axis of symmetry where
x=b2a=0
Thus, ymin=0 at x=0
With these results and possibly a few extra points we can draw the graph of y as below.
Graph: {x2[10, 10, 5, 5]}

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