Word problem transformation function

Question

The function is h(x) = 1/10x^2 +10

Answer 1

First what is the parent function?

y = a(x-h)^2+k

Next look at the values for a, h, and k.

a = 1/10

h = 0

k = 10

a is the strench or compression of the graph. A value 0 < x < 1 is a compression.

h is the axis of symmetry, in this case the axis of symmetry is the y-axis.

k is the horizontal shift. A (+) value moves the graph up, that many units.

The graph is shifted up 10 units and vertical compressed by 1/10.