SOLUTION: Put the following quadratic equations into vertex form f(x)=-4x^2-18x+5

Question 1002668: Put the following quadratic equations into vertex form
f(x)=-4x^2-18x+5
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=-4x^2-18x+5
y-5=-4(x^2+9x/2)
Complete the square
y-5= -4(x^2+(9x/2)+81/16)+(81/4), subtracting (-4)(81/16) from one part, must add it back.
y= -4{x+(9/2)^2}+25(1/4)
check by the vertex h=-b/2a and k=f(h). Vertex x=value is 18/-8=-2.25, and the y-value is 25.25

RELATED QUESTIONS
Put the following expressions into simplified form. {{{ sqrt( 4/5 ) }}} {{{ 40... (answered by jim_thompson5910)

Put the quadratic into vertex form and state the coordinates of the vertex. y=x^2-14x (answered by ikleyn)

Find the solution sets to the following quadratic equations. Remember to first put... (answered by MathLover1)

Name the values of the characteristics of the following quadratic equations 2. f(x) (answered by stanbon)

f(x) = −1/2x^2 − 2x + 5 is the function of a quadratic function. 1)... (answered by ewatrrr)

x^2+4x-6 (put into vertex form)--> y=(x-h)^2+k 3x^2+6x-3=0 (solve by using quadratic... (answered by josgarithmetic)

5. Convert the following equation into vertex form by completing the square. f(x) =... (answered by Edwin McCravy)

Change the quadratic function into vertex form. Then, give the coordinates of the vertex. (answered by robertb)

Find the vertex form of the quadratic function... (answered by ReadingBoosters)