SOLUTION: Q.1) The question reads "solve the equation x^2-1=8 by using the graph." The graph has an open (upward facing) parabola. It has a y-intercept of -1; x-intercept's at -1, 1.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Q.1) The question reads "solve the equation x^2-1=8 by using the graph." The graph has an open (upward facing) parabola. It has a y-intercept of -1; x-intercept's at -1, 1.       Log On


   

Question 634987: Q.1) The question reads "solve the equation x^2-1=8 by using the graph."
The graph has an open (upward facing) parabola. It has a y-intercept of -1; x-intercept's at -1, 1.
How do I answer this question? I'm not sure what I need to do...
Q.2) The question reads "express the following as a compound inequity and graph"
it states "x" is between -4 to 6.
There is a graph.
How do I properly answer this on the graph?
Thank you.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The graph you describe is the graph of:
y+=+x%5E2-1
This graph can be used to solve
x%5E2-1+=+8
because the two equations are the same except one has a y and the other has an 8. To solve the equation using the graph:
  • Find the points where y = 8 on the graph. They form a horizontal line that passes through 8 on the y-axis.
  • Find where this horizontal line intersects the parabola. You should find two points, one to the right of the y-axis and one to the left.
  • The x-coordinates of these points are the solutions to your equation.