Mastering the Vertex Form of Quadratic Equations

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What is the vertex form of a quadratic function?

The vertex form of a quadratic function is given by f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

What does the variable h represent in the vertex form of a quadratic function?

The variable h represents a horizontal shift (how far left or right the graph has shifted from x = 0).

What does the variable k represent in the vertex form of a quadratic function?

The variable k represents a vertical shift (how far up or down the graph has shifted from y = 0).

If the equation is y = 2(x - 1)^2 + 5, what are the values of h and k?

The value of h is 1, and the value of k is 5.

If the equation is y = 3(x + 4)^2 - 6, what are the values of h and k?

The value of h is -4, and the value of k is -6.

Test your knowledge of the vertex form of a quadratic equation with this quiz. Learn how to write equations in vertex form and identify the vertex of a parabola.

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