In order to multiply or divide a fraction by a mixed numeral, it is best to have them BOTH in fraction form. 1) We'll convert 1 2/5 into an improper fraction. (1×5)+2 = 7/5 Now 6/7 ÷ 7/5 2) when dividing by a fraction, it is the same to multiply by its reciprocal. So flip the second fraction and multiply them: 6/7 ÷ 7/5 = 6/7 × 5/7 3) reduce them: there is nothing on top that reduces with the bottom, so we simply multiply 4) multiply numerators, then multiply denominators and keep them in place: 6×5 = 30, 7×7 = 49 5) so our final answer is 30/49
Answer is choice D. The other choices involve dilations, or scalings, which basically make the graph taller or flatter depending on what the scale factor is. In the case of f(x-1/2)+3, we shift f(x) to the right 1/2 a unit and up 3.
