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geniusboy [140]
3 years ago
13

I need help with this equation 20 points help quick

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

The equation of the graph after translating one unit to the left is;

y =  \left | \dfrac{x}{2} - \dfrac{3}{2}  \right |+3

Step-by-step explanation:

The given equation is y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3

We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4

Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;

y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 =  \left | \dfrac{x}{2} + \dfrac{1}{2}  - 2 \right |+3 =  \left | \dfrac{x}{2} - \dfrac{3}{2}  \right |+3

The equation of the graph becomes;

y =  \left | \dfrac{x}{2} - \dfrac{3}{2}  \right |+3.

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