Question

Write an equation to express the value of h+k

Answer 1

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.