1 How is the graph of y fx 1 6 obtained from the graph of

(1) How is the graph of y = f(x 1) + 6 obtained from the graph of f?

Shift the graph of f(x)

(a) left or right or upward or downward 1 units, then shift the graph

(b) left or right or upward or downward 6 units.

(2) How is the graph of y = f(x) obtained from the graph of f?

Reflect the graph of f(x) about the

(a) x-axis or y-axis or line x = y .

Solution

1] To obtain y = f(x-1) + 6, shift the graph of f(x) to the right by 1 unit and then shift this upwards by 6 units.

2] y = f( - x) is a reflection of the graph f(x) about y axis since the y values remain the same and only x values invert.