Question

please help! will give brainliest to whoever answers

maths functions

Answer 1

Answer:

1. f(x) is reflected across the x-axis

2. f(x) is translated 1 unit up

3. f(x) is vertically scaled by a factor of 2

4. f(x) is reflected across the x-axis AND is vertically scaled by a factor of 2

5. f(x) is vertically scaled by a factor of 3 AND is translated 1 unit down

6. f(x) is vertically scaled by a factor of 1/6 AND is translated 1 unit up

Answer 2

Solving question:

(1)  $g(x) = -f(x)$

This graph has been reflected in the x axis. Equation:  $\sf g(x) = -\dfrac{2}{x}$

(2) $g(x) = f(x) + 1$

Graph has been translated 1 units up vertically. Equation: $\sf g(x) = \dfrac{2}{x} +1$

(3) $g(x) = 2f(x)$

This graph has been stretched vertically by a factor of 2. Equation: $\sf g(x) = \dfrac{4}{x}$

(4) $g(x) = -2f(x)$

This graph has been reflected in the x axis and stretched vertically by a factor of 2. Equation: $\sf g(x) = -\dfrac{4}{x}$

(5)  $g(x) = 3f(x) - 1$

This graph has been stretched vertically by a factor of 3 and translated 1 units down. Equation: $\sf g(x) = \dfrac{6}{x} -1$

(6)   $g(x) = \frac{1}{6} f(x) + 1$

This graph has been stretched vertically by a factor of 1/6 and translated 1 units up. Equation: $\sf g(x) = \dfrac{1}{3x} +1$