Makeup a quadratic equation in standard form with the following properties: a not equal to 1 or 0, b not equal to 0 and c not equal to 0. Complete the square to change the relation to vertex form. *
3 answers
y = 4x^2 + 8x + 5 = 4(x+1)^2 + 1
3 x^2 + 6 x - 18 = y
x^2 + 2 x - 6 = y/3 (getting a = 1)
x^2 + 2 x = y/3 + 6
[(1/2)* 2 ]^2 = 1 so add 1 to both sides
x^2 + 2 x + 1 = y/3 + 7
(x+1)^2 = (1/3)( y + 21)
looks like vertex at (-1 , -21)
x^2 + 2 x - 6 = y/3 (getting a = 1)
x^2 + 2 x = y/3 + 6
[(1/2)* 2 ]^2 = 1 so add 1 to both sides
x^2 + 2 x + 1 = y/3 + 7
(x+1)^2 = (1/3)( y + 21)
looks like vertex at (-1 , -21)
To check search for:
math is fun function grapher and calculator
math is fun function grapher and calculator