Question

A parabola in the coordinate plane passes through the points (-4,7) (3,0) (8,10). When the quadratic function associated with this parabola is expressed as f(x)=ax^2 + bx +c what is the value of c

0

3

3 9/13

8

Answer 1

c = 0

Explanation:

A 3-variable linear system of equations is constructed after replacing known values for x and y:

`16\cdot a - 4 \cdot b + c = 7`

`9\cdot a + 3\cdot b + c = 0`

`64\cdot a + 8\cdot b + c = 10`

After making algebraic manipulation, the following solution is found:

`a = (1)/(4)` and
`b = -(3)/(4)` and
`c = 0`

The value of c is 0.