Thursday

July 24, 2014

July 24, 2014

Posted by **Aaliyah** on Wednesday, June 17, 2009 at 1:52pm.

y=4-2x

y=2x^2-3x+1 ??

how do i find minimum value of 2x^2-3x+1 and the value of x for which the minimum occurs???

- MATH -
**Reiny**, Wednesday, June 17, 2009 at 3:15pmequate the two right sides, since they are both equal to y

so

2x^2 - 3x + 1 = 4 - 2x

2x^2 - x - 3 = 0

(2x-3)(x+1) = 0

2x-3=0 or x+1=0

x = 3/2 or x = -1

sub those values into y = 4-2x to get the corresponding y values of the points of intersection.

for the second part, are you taking Calculus.

If so, you should surely know how to do this. Take the first derivative, set it equal to zero and solve for x

Sub that back into the function to get the y.

If you are not taking Calculus you should know how to complete the square to find the vertex of the matching parabola.

**Related Questions**

Mathematics - How do i solve the pair of simultaneous equations y=x^2-3x-12 and ...

math - solve the simultaneous equations to find the coordinates of the point of ...

math - Determine whether this function has a mzximum or minimum value and then ...

math - I'm having some troubles with these. Thanks in advance. If a>0 find ...

Algebra- Maximum and minimum. - I dont understand how to find the maximum and ...

calculus - Find the point on the curve y=x^(1/2) that is a minimum distance from...

Math/Algebra...can you check this please... - f(x)= -4(x+5)^2+3 The vertex is...

math - a,b and c are positive integers such that the simultaneous equations (a&#...

algebra - 1)Identify the y-intercept and the axis of symemetry for the graph of ...

Calculus Please Help - Let f(x)=e^(2x)-kx, for k greater than 0. Using a ...