Question

Given the vertex (h, k) and the value of a. Determine the vertex form and the general form of the quadratic function.

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1. Vertex (1,5) and a=1

2. Vertex (1,-15) and a=1

3. Vertex (-2,4) and a=-1

4. Vertex (1,3) and a=-2

5. Vertex (-6,2) and a=-2

Answer 1

Answer:

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Answer 2

Answer:

When written in "vertex form":

• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

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

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

• notice that the h value is subtracted in this form, and that the k value is added.

If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.

If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.