Need finding parent function equation with translation

parent equation: y = 3ˣ

y = 3⁽ˣ⁻⁵⁾ - 7

Step-by-step explanation:

y = abˣ

The graph is curved up, a is positive

pass (0,1)              1 = ab° = a x 1

a = 1

pass (1,3)              3 = b¹

b = 3

parent equation: y = 3ˣ

Translation to right 5 and down 7

translation formula: y = b⁽ˣ⁻ⁿ⁾ + k ... n=5   k=-7

y = 3⁽ˣ⁻⁵⁾ - 7

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step-by-step explanation: