Answer:
2
Step-by-step explanation:
Step 1 write the equation: y=3x-1
Step 2 Plug 1 in: y=3(1)-1
Step 3 Multiply 3 and 1: y=3-1
Step 4 Subtract 3 from 1: y=2
Answer:
D. F(x) = (x +3)³ -2
Step-by-step explanation:
As with most multiple-choice math problems, you can try the different answers to see which is consistent with the information given in the problem. Here, that would mean you evaluate f(-3) to see if you get the value -2.
A. (-3+2)³ -3 = -4 ≠ -2
B. (-3 -3)³ -2 = -218 ≠ -2
C. (-3 -2)³ -3 = -128 ≠ -2
D. (-3 +3)³ -2 = -2 . . . . . . the correct choice
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You are probably expected to understand that F(x) has been translated left 3 units and down 2 units from G(x). (The marked inflection point gives you the clue you need.) The transformation that translation does this is:
F(x) = G(x -h) +k . . . . . G(x) translated by (h, k) units (right, up)
Translation left 3 and down 2 gives you (h, k) = (-3, -2), so ...
F(x) = G(x -(-3)) -2 = G(x +3) -2
F(x) = (x +3)³ -2
Answer: -2
Step-by-step explanation: from the equation, -4m +6 = 14, you subtract 6 from both sides and get -4m=8, and the last step is to divide both sides by -4 and you get m=-2.
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
