Practice Quadratic Vertex Form in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola and a determines its width and direction.
Imagine sliding a basic x^2 parabola around on the coordinate plane. The value h shifts it left or right, k shifts it up or down, and a stretches or flips it. The vertex (h, k) is the parabola's turning point—you can read it directly from this form.
Example 1
easyWhat is the vertex of f(x) = 2(x - 3)^2 + 1?
Example 2
mediumWrite the vertex form of a parabola with vertex (-1, 4) passing through (0, 7).
Example 3
easyWhat is the vertex of g(x) = -(x + 5)^2 - 2?
Example 4
hardConvert x^2 + 4x + 7 to vertex form.