If you wanted to shift the graph of y = 3x + 8 down, which equation could you use?A.y = -3x + 8B.y = 2x + 8C.y = 3x + 10D.y = 3x - 2SUBMITarrow_backPREVIOUS
Question
If you wanted to shift the graph of y = 3x + 8 down, which equation could you use?
A. y = -3x + 8
B. y = 2x + 8
C. y = 3x + 10
D. y = 3x - 2
SUBMIT
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Solution
To determine which equation could represent the graph of shifting down, we need to understand the effect of subtracting a constant from the equation.
Analysis of the Options
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Original Equation: This graph has a slope of 3 and a y-intercept of 8.
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Shifting Down: Shifting down means we want to decrease the y-values of the graph for every x-value. This is done by subtracting a positive constant.
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Reviewing Each Option:
- A. : This changes the slope, not just shifting it down.
- B. : This also changes the slope.
- C. : This shifts the graph up, not down.
- D. : This subtracts 10 from the y-intercept, which shifts the graph down.
Conclusion
The correct option that represents the graph shifted down is:
Final Answer: D.
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