The graph of the function f(x) = 9^x - 3 can be obtained from the graph of g(x)

Question

The graph of the function f(x) = 9^x - 3 can be obtained from the graph of g(x) = 9^x by one of the following actions: (a) shifting the graph of g(x) to the right 3 units; (b) shifting the graph of g(x) to the left 3 units; (c) shifting the graph of g(x) upward 3 units; (d) shifting the graph of g(x) downward 3 units; (e) reflecting the graph of g(x) in the x-axis; (f) reflecting the graph of g(x) in the y-axis; Your answer is (input a, b, c, d, e, or f) (8^x)-5, (8^x)+5), 8^(, Is the domain of the function f(x) still infinity, infinity)? Your answer is (input Yes or No) Yes The range of the function f(x) is (A, infinity), the value of A is 0

Explanation / Answer

Domain (-infinity, infinity)

Range (3,infinity ) A =3.

a) y= (9^(x-3 +3)) = 9^x

b) y = (9^(x-3 -3 )) = 9^(x-6)

C) y = (9^(x-3)) +3

d) y = (9^(x-3)) -3

The general equation with exponential linear equation

y = a + b^(x -d)

a ==> vertical shift up or down

d==> horizontal right or left shift.

Reflection about x axis is y= -f (x)

y= - (9^(x-3))

Reflection about y axis y = f (-x)

y= 9^ (-x+3)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.