Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = (x - 13)2 + 6

Answer 1

see explanation

Explanation:

Given the graph of f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Thus y = (x - 13)² represents a shift to the right of 13 units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus

y = (x - 13)² + 6 is the graph of y = x² translated 13 units right and 6 units up

Answer 2

Explanation:

if we shift 13 units right and 6 units down we get the reqd. graph.