Question

The table shows some of the values of a function of the form y=ax^2+bx+c which is the value of c, the constant, the constant for the function?

Answer 1

Answer: d

Explanation:

yw

Answer 2

`c=8`

Explanation:

Given:
`y=ax^2+bx+c`

To find: c

Solution:

At
`x=4,y=48`:

`48=16a+4b+c` (i)

At
`x=5,y=73`:

`73=25a+5b+c` (ii)

At
`x=6,y=104`:

`104=36a+6b+c` (iii)

On subtracting (i) and (ii),

`25=9a+b` (iv)

On subtracting (i) and (iii),

`56=20a+2b\\\\28=10a+b \,\,\,\,(v)`

On subtracting (iv) and (v),

`a=3`

Put a=3 in (iv)

`25=9(3)+b\\25=27+b\\25-27=b\\-2=b`

Put
`a=3,b=-2` in (iii)

`104=36(3)+6(-2)+c\\104=108-12+c\\104=96+c\\104-96=c\\8=c`