Hi there! Let's solve your problem step-by-step. 1. -f(x) Since there is a negative in front of the f, it means a reflection over the x-axis. Therefore, the only description that would fit here would be f) f(x) is reflected over the x-axis. 2. f(x - 4) The -4 on the inside of the parenthesis means that f(x) is being translated four units right. Hence, the only fitting description for this situation would be d) f(x) is translated 4 units right. 3. f(x) - 4 The -4 on the <u>outside</u> of the parenthesis means that the function f(x) is being translated vertically 4 units down. Therefore, the answer in this situation would be e) f(x) is translated 4 units down. 4. 4f(x) The 4 in front of the f means a vertical stretch, as it is outside the parenthesis. It is a stretch because 4 is greater than 1. So, the answer to the problem here would be c) f(x) is vertically stretched by a factor of 4. Hope my answers helped you and have a great day!
Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.
