HAYESxELITE 3 years ago What are the solutions of the equation 2x² = 8? Use a graph of the related function what are the coordinates of the parabola?

1. Mertsj

What do you mean, "What are the coordinates of the parabola"? There are an infinite number of ordered pairs on the parabola.

2. HAYESxELITE

What are the solutions of the equation 2x² = 8? Use a graph of the related function

3. HAYESxELITE

4. Mertsj

x=2 or -2

5. MrYantho

This is like the other question except first you need an an equation: \[2x^2=8\] \[2x^2-8=0\] \[y=2x^2-8\] Since you need to graph, this is a parabola which has been vertically stretched by a factor of 2, and then shifted down 8.

6. HAYESxELITE

|dw:1332431137097:dw|what type of parabole is it? is

7. Mertsj

Is a positive or negative?

8. HAYESxELITE

yea

9. MrYantho

The reason we make the expression equal 0, and then replace 0 with y is because we want to know the value of x when y=0....because that would be an x-intercept (solution)

10. HAYESxELITE

positive or negitive

11. MrYantho

It must open up since the a value is 2, which is positive.

12. MrYantho

'a' value

13. HAYESxELITE

|dw:1332431233564:dw| like this?

14. MrYantho

Nope. The parabola is moving down by 8, not 4.

15. HAYESxELITE

oh ok thank you i got the right answer now!

16. MrYantho

Great!