SOLUTION: f(x) = −1/2x^2 − 2x + 5 is the function of a quadratic function. 1) Change f(x) into standard form and 2) Find the vertex

Algebra ->  Functions -> SOLUTION: f(x) = −1/2x^2 − 2x + 5 is the function of a quadratic function. 1) Change f(x) into standard form and 2) Find the vertex       Log On


   

Question 847292: f(x) = −1/2x^2 − 2x + 5
is the function of a quadratic function.
1) Change f(x) into standard form and 2) Find the vertex

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

Hi,

Finding the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

Completing the Square:  y = ax^2 + bx + c   ⇒ y+=+a%28x+-%28-b%2F2a%29%5E2%29+-+a%28-b%2F2a%29%5E2+%2B+c

f(x) = -(1/2)x^2 - 2x     + 5

f(x) = -(1/2)(x^2 +4x)    + 5  

f9x) = (-1/2)(x+2)^2 + 2 + 5 = 

f(x) = (-1/2)(x+2)^2 + 7  

V(-2,7)