Write the quadratic equation in standard form: y=ax^2+bc+c that has the given solutions: (number 9)

Answer:

x² -3x + 1.5

Explanation:

Here using the formula:

we can determine a

2a = 2

a = 1

we can determine b

-b = 3

b = -3

we can determine that b = -3

then using a = 1 , b = -3

find c:

(-3)²-4*1*c = 3

9-4c = 3

-4c = -6

c = 3/2

so the quadratic formula is x² -3x + 1.5

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

41*67/2=1373.5

step-by-step explanation:

i just used a calculator