Question

Suppose f(x) = 3x-5. Describe how the graph of g compares with the graph of f. g(x)= f(x+7)​

Answer 1

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suppose f(x)=3x+5. describe how the graph of each function compares to f. 1) g(x)=f(x)+12 2) h(x)=f(x)-7 3) g(x)=f(x=8) 4) h(x)=f(x-14) 5) g(x)=4f(x) 6) g(x)=f(5x)

Answer · 0 votes

Function transformation involves changing the form of a functionThe function is given as:$\mathbf{f(x) = 3x + 5}$1. g(x) = f(x) + 12This gives$\mathbf{g(x) = 3x + 5 + 12}$$\mathbf{g(x) = 3x + 17}$g(x) = f(x) + 12 relates to f(x) by shifting f(x) 12 units up2. h(x) = f(x) - 7This gives$\mathbf{h(x) = 3x + 5 - 7}$$\mathbf{h(x) = 3x - 2}$h(x) = f(x) - 7 relates to f(x) by shifting f(x) 7 units down3. g(x) = f(x + 8)This gives$\mathbf{g(x) = 3(x + 8) + 5}$$\mathbf{g(x) = 3x + 24 + 5}$$\mathbf{g(x) = 3x +29}$g(x) = f(x + 8) relates to f(x) by shifting f(x) 8 units left4. h(x) = f(x - 14)This gives$\mathbf{h(x) = 3(x - 14) + 5}$$\mathbf{h(x) = 3x - 42 + 5}$$\mathbf{h(x) = 3x -37}$h(x) = f(x - 14) relates to f(x) by shifting f(x) 14 units right5. g(x) = 4f(x)This gives$\mathbf{g(x) = 4(3x + 5)}$$\mathbf{g(x) = 12x + 20}$g(x) = 4f(x) relates to f(x) by vertically stretching f(x)…..

Suppose f(x) = 3x + 5. Describe how the graph of g(x) = f(x) + 12 compares to f

Answer · 1 vote

Answer:12Step-by-step explanation:i know