Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
3. Graphing Radical Functions
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Exercise 51 Page 257

To graph the equation, first isolate y. You will have to graph two separate equations.

Graph:

Vertex: (0,0)
Direction the parabola opens: Right

Practice makes perfect
Before we can use a graphing calculator to graph the given equation, we have to isolate y.
1/4y^2=x
â–Ľ
Solve for y
y^2=4 x
y = ± sqrt(4x)
y = ± sqrt(4) sqrt(x)
y=± 2sqrt(x)
Next, to see this equation on a calculator we actually have to use two separate functions. This is because a sideways parabola is not a function — think back to the Vertical Line Test.

y=2sqrt(x) and y=- 2sqrt(x) To enter these functions, push Y= and type them in two different rows. Then, push GRAPH to draw them.

Looking at the graph, we can see that the vertex occurs at (0,0) and that the parabola opens to the right.