Answer:
The other point is (-8, 2)
Step-by-step explanation:
A general quadratic equation is something like:
f(x) = a*x^2 + b*x + c
Where a, b, and c are real numbers.
If the function has an axis of symmetry at x₀, this means that:
f(x₀ + x) = f(x₀ - x)
for all values of x.
In this case we have:
x₀ = -1
Then:
f(-1 + x) = f(-1 - x)
Now we know that the point (6, 2) is a solution of the quadratic equation
This means that f(6) = 2
If we write 6 = -1 + x
We can solve this for x to get:
6 = -1 + x
6 + 1 = x = 7
Then we will have:
2 = f(6) = f(-1 + 7) = f(-1 - 7) = f(-8)
Then:
f(-8) = 2
sThis means that the other point on the quadratic eqation is (-8, 2)
