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Anestetic [448]
3 years ago
10

How to create an equation for function m? I wrote the right equation as a guess, but I don't understand it.​

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

h(x)=2(x + 3)^{\frac{1}{2} }

Step-by-step explanation:

Parent function of the square root function has been given as,

f(x) = x^{\frac{1}{2} }

If the graph of the given function is stretched vertically by the scale factor = g(x) = k(x^\frac{1}{2})

If the graph is shifted 3 units to the left,

h(x) = k(x + 3)^{\frac{1}{2} }

Since, the graph of the function passes through a point (-2, 2),

2=k(-2 + 3)^\frac{1}{2}

2 = k

Therefore, the function is h(x)=2(x + 3)^{\frac{1}{2} }.

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