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Hi cassie kyOtiE!
You can find the h and k of the quadratic equation by using the formula:
f(x) = a(x-h)^2+k
For example, take a quadratic function f(x) = ax^2 + bx + c. We could compute it using the formulas:
h = -b/2a, k = f(h)
So that basically means that if you input h into the function, you would get k. For example:
Find h and k in the quadratic function f(x) = 2x^2 + 3x + 4.
Find h:
h = -b/2a
b = 3, a = 2
h = -3/2(2)
h = -3/4
Find k:
k = f(h)
k = 2(-3/4)^2 + 3(-3/4) + 4
k = 9/8 - 9/4 + 4
k = 23/8
So for our example, h = -3/4 and k = 23/8.
Feel free to comment if there are corrections or more questions! :>
- BloomForMath
Hi cassie kyOtiE!
You can find the h and k of the quadratic equation by using the formula:
f(x) = a(x-h)^2+k
For example, take a quadratic function f(x) = ax^2 + bx + c. We could compute it using the formulas:
h = -b/2a, k = f(h)
So that basically means that if you input h into the function, you would get k. For example:
Find h and k in the quadratic function f(x) = 2x^2 + 3x + 4.
Find h:
h = -b/2a
b = 3, a = 2
h = -3/2(2)
h = -3/4
Find k:
k = f(h)
k = 2(-3/4)^2 + 3(-3/4) + 4
k = 9/8 - 9/4 + 4
k = 23/8
So for our example, h = -3/4 and k = 23/8.
Feel free to comment if there are corrections or more questions! :>
- BloomForMath