SOLUTION: Suppose {{{ y = 2x^2 + x - 16 }}} Find the following information for this function. The coordinates of the Vertex are ( _ , _ ). This parabola has ( __ ) x-intercepts.

Algebra.Com
Question 906321: Suppose


Find the following information for this function.
The coordinates of the Vertex are ( _ , _ ).
This parabola has ( __ ) x-intercepts.
These intercepts occur at (exact values):
x = ( __ ) Smaller value
x = ( __ ) Bigger value
Enter DNE in any unused spaces.
This parabola attains a __ value of __

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

y = 2(x+1/4)^2 - 1/8 - 16
y = 2(x+.25)^2 - 129/8
0 = 2(x+.25)^2 - 129/8
129/16 = (x+.25)^2
-.25 ± sqrt(129/16) = x
x is 2.5895, -3.0895
The coordinates of the Vertex are ( .25, -129/8).
This parabola has (2 ) x-intercepts.
These intercepts occur at (exact values):
x = (-.25 - √129/4) Smaller value
x = (-.25 +√129/4 ) Bigger value
This parabola attains a min value of -129/8

RELATED QUESTIONS

Suppose y = {{{ 2x^2 + x - 16 }}} Find the following information for this function. (answered by josgarithmetic)
y = {{{ - x^2 - 14x - 44 }}} Find the following... (answered by josgarithmetic)
y = {{{ - x^2 - 14x - 44 }}} Find the following information... (answered by josgarithmetic)
6. For the quadratic function y = -2x^2 + 8x + 1: a. What are the coordinates (values... (answered by fractalier)
How would I answer these problems I am really stuck. Any help would be greatly... (answered by stanbon)
Find the coordinates of the vertex for the parabola... (answered by ewatrrr)
[ Find the x-intercept(s) and the coordinates of the vertex for the parabola y = x^2 + 2x (answered by TimothyLamb)
Please help with the following problem. Consider the function f(x)=x^2+6x-2. Find h,... (answered by jim_thompson5910,KnightOwlTutor)
I think this is a graphing question: Find the coordinates of the vertex for the... (answered by ewatrrr)