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

Answer:

c = 0

Step-by-step 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:

$a = \frac{1}{4}$ and $b = -\frac{3}{4}$ and $c = 0$

The value of c is 0.