SOLUTION: The function f (x) = 2x2 + 8x + c has a minimum value of −11.Find the value of c

Algebra.Com
Question 408852: The function f (x) = 2x2 + 8x + c has a minimum value of −11.Find the value of
c

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
The function f(x) = 2x^2+8x+c has a minimum value of −11.Find the value of c
..
Standard form of parabola: y=(x-h)^2+k with (h,k) being the (x,y) coordinates of the vertex.
completing the square:
y=2(x^2+4x+4)-8+c
y=(x+2)^2-8+c
This is a parabola that opens upwards (so it has a minimum) with a minimum at -8+c which is equal to -11 as given.
-8+c=-11
c=-3
equation of parabola:
ans:2x^2+8x-3
se graph below
..


RELATED QUESTIONS

The function f (x) = 2x2 + 8x + c has a minimum value of −11.Find the value of... (answered by nerdybill)
Find the vertex of the graph of the equation. y = 2x2 − x − 3 Find... (answered by lynnlo)
If the quadratic function f(x) = 2x2 - 4x + 6 is graphed, the range has: A. a maximum (answered by scott8148)
Find the maximum or minimum value of the function. f(x) = 3x^2 −... (answered by Alan3354)
Find the maximum or minimum value of the function. f(x) = 3x^2 − 37 State whether (answered by MathLover1)
f(x) = −x^2 + 8x + 3 find the maximum value of the... (answered by stanbon,MathLover1)
Given f(x) = 2x2 + 1 and g(x) = 8x − 9, find the following. (a) f(g(2)) (answered by stanbon)
The function f(x) = 2x^2 - bx + 23 has a minimum value of 5. Find the value of... (answered by josgarithmetic)
Given the function f(x) = 5x2 − 2x + 7, find the ordered pair (x, f(x)) associated... (answered by yhanie)