SOLUTION: I need help with this kind of problem: Find the vertex, the y-intercept, and symmetric point, and use these to sketch a graph. y=2x^2 -11x -12 I am having problems solving for t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help with this kind of problem: Find the vertex, the y-intercept, and symmetric point, and use these to sketch a graph. y=2x^2 -11x -12 I am having problems solving for t      Log On


   



Question 107371: I need help with this kind of problem:
Find the vertex, the y-intercept, and symmetric point, and use these to sketch a graph.
y=2x^2 -11x -12
I am having problems solving for the vertex.

Found 2 solutions by Annabelle1, MathTherapy:
Answer by Annabelle1(69) About Me  (Show Source):
You can put this solution on YOUR website!
This is a quadratic. There is a formula you can use to find the vertex.
x=-b%2F2a
this will give you the line of symmetry which is also the x value of the vertex.
Sub the x value bank into your original equation to find the y value.

Answer by MathTherapy(10692) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with this kind of problem:
Find the vertex, the y-intercept, and symmetric point, and use these to sketch a graph.
y=2x^2 -11x -12
I am having problems solving for the vertex.
============================================
Formula for the x-coordinate of the vertex of a parabola: x+=+-+b%2F%282a%29 
y+=+highlight%282%29x%5E2+%2A+highlight_green%28-+11%29x+-+12. Compare to:
y+=+highlight%28a%29x%5E2+%2A+highlight_green%28b%29x+%2B+c
In this case, b = - 11, and a = 2.
So, the x-coordinate of the vertex of THIS parabola is:-+%28-+11%29%2F%282%2A2%29+=+11%2F4

Now, substitute the x-value into the ORIGINAL equation to get the y-coordinate of the vertex, as follows: 
y+=+2x%5E2+-+11x+-+12
y+=+2%2811%2F4%29%5E2+-+11%2811%2F4%29+-+12
y+=+2%28121%2F16%29+-+121%2F4+-+12
y+=+121%2F8+-+121%2F4+-+12
y+=+%28121+-+242+-+96%29%2F8
y+=+%28-+217%29%2F8 <==== y-coordinate of the vertex of THIS parabola
Vertex of parabolic equation, matrix%281%2C3%2C+y%2C+%22=%22%2C+2x%5E2+-+11x+-+12%29: