Finding the vertex. f(x)=a(x-h)^2+k
To find the vertex of a quadratic function in the form f(x) = a(x-h)^2 + k, we can use the values of h and k
To find the vertex of a quadratic function in the form f(x) = a(x-h)^2 + k, we can use the values of h and k.
The vertex of a quadratic function is the point (h, k) that represents the highest or lowest point on the graph.
The value of h represents the x-coordinate of the vertex, while the value of k represents the y-coordinate of the vertex.
To find the vertex, follow these steps:
1. Identify the values of h and k in the given quadratic function.
– The value of h is the opposite of the x-coordinate of the vertex. For example, if h = 3, the x-coordinate of the vertex is -3.
– The value of k is the y-coordinate of the vertex.
2. Once you’ve identified h and k, substitute them into the equation (h, k).
– For example, if h = -3 and k = 5, the vertex is (-3, 5).
3. Simplify the equation to get the vertex form.
– For example, f(x) = a(x+3)^2 + 5 is the vertex form of the quadratic function given the vertex (-3, 5).
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