Question

3.) Write the quadratic equation from the table. Use the y-intercept to solve for a.

X
-4
-3
-2
-1
0
2
y
-12
-5
0
3
4
3
0
3
-5

Answer 1

Answer and Step-by-step explanation:

To write the quadratic equation, we need to find the values of a, b, and c in the general form of a quadratic equation:

y = ax^2 + bx + c

Using the given data, we can plug in the x- and y-values to get a system of equations:

-12 = 16a - 4b + c

-5 = 9a - 3b + c

0 = 4a - 2b + c

We can solve this system of equations using substitution or elimination to get:

a = -1

b = 3

c = 4

Substituting these values into the general form of the quadratic equation, we get:

y = -x^2 + 3x + 4

Therefore, the quadratic equation from the table is:

y = -x^2 + 3x + 4