Question

Please help me i need the answers pleasee

Starting with the graph of f(x)=9^x , write the equation of the graph that results when:
(a) f(x) is shifted 2 units upward. y=-----------

(b) f(x) is shifted 4 units to the right. y=----------

(c) f(x) is reflected about the x-axis and the y-axis. y=------------

Answer 1

Answer: (a) To shift the graph of f(x)=9^x 2 units upward, we can add 2 to the function. Therefore, the new equation is:

y = 9^x + 2

(b) To shift the graph of f(x)=9^x 4 units to the right, we can replace x with (x - 4). Therefore, the new equation is:

y = 9^(x - 4)

(c) To reflect the graph of f(x)=9^x about the x-axis and the y-axis, we can replace x with (-x) and take the negative of the function. Therefore, the new equation is:

y = -9^(-x)

Explanation: