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Hello, I need help on my Mathematics 30-1 (Pre-calculus) Questions #4 and Numerical Response 1 and 2 uiz 4.1 - TS Mathematics 30-1 THUMBA TRAS

Hello, I need help on my Mathematics 30-1 (Pre-calculus) Questions #4 and Numerical Response 1 and 2

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uiz 4.1 - TS Mathematics 30-1 THUMBA TRAS Numerical Response 1. If logz (x - y) = 3 and logz (x + y) = 5, the sum of x and y is Hint: Express both logarithms as exponential equations. The result will be two equations in two variables, x and y. Solve this system of equations. Numerical Response 2. What is the value of log, 27 X log3 243? Hint: Each logarithm can be converted to an exponential equation and solved. Then, the solution values can be multiplied. toldw 4. Describe the transformations necessary to obtain the graph of y =- 4 logs (2x + 6) - 1 from the graph of y = logix. A. vertical stretch by a factor of 4, horizontal stretch by a factor of -, reflection in the x-axis, vertical translation 1 unit down, horizontal translation 3 units left B. vertical stretch by a factor of 4, horizontal stretch by a factor of 2, reflection in the x-axis, vertical translation 1 unit down, horizontal translation 6 units left C. vertical stretch by a factor of , horizontal stretch by a factor of 2, reflection in the y-axis, vertical translation 1 unit up, horizontal translation 3 units right D. vertical stretch by a factor of , horizontal stretch by a factor of 2, reflection in the y-axis, vertical translation 1 unit up, horizontal translation 6 units right Hint: Compare the function y =- 4logs (2x + 6) - 1 to y = a logs (b(x - h)) + k

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