Writer y=3/4x+8 in standard form
1 answer:
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Answer: (3) f(8) = g(8)
<u>Step-by-step explanation:</u>
Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4
<u> f(x) </u> <u> g(x) </u> <u>Comparison</u>
f(x) = 2x - 3
f(0) = 2(0) - 3
= -3 = 1 f(0) < g(0)
f(2) = 2(2) - 3
= 1 = 4 f(2) < g(2)
f(8) = 2(8) - 3
= 13 = 13 f(8) = g(8)
f(4) = 2(4) - 3
= 5 = 7 f(4) < g(4)
The only statement provided that is true is f(8) = g(8)
Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) =
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k =
Since, k is between 0 and , function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) =
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.