Higher November 2019 Unit 2 Q16
16. The following graph represents the curve \(y = f(x)\).
There are 9 equations and 4 graphs of different transformations of \(y = f(x)\) shown below.
Choose the equation which describes each transformation of \(y = f(x)\).
Write it in the box provided.
One has been completed for you. [3]
| Equations | ||
|---|---|---|
| \(\boldsymbol{y = f(2x)}\) | \(y = f(x - 1)\) | \(y = f(x) - 1\) |
| \(y = -f(x)\) | \(y = f(x) + 1\) | \(y = f(-x)\) |
| \(y = \dfrac{1}{2}f(x)\) | \(y = 2f(x)\) | \(y = -2f(x)\) |
Equation: \(\boldsymbol{y = f(2x)}\)
Equation: ……………………
Equation: ……………………
Equation: ……………………
| Scheme | Marks | Comments |
|---|---|---|
| (y =) −f(x) | B1 | |
| (y =) f(x) − 1 | B1 | |
| (y =) 2f(x) | B1 |