| Question | Answer |
| Reciprocal graphs e.g. y = 1 / x | |
| Reciprocal-square graphs e.g. y = 1 / x^2 | |
| Reciprocal-square graphs y = 1 / x^2 | |
| Straight line graphs e.g. y = x | |
| Quadratic graphs e.g. y = x^2 | |
| Straight line graphs y = x | |
| Cubic graphs e.g. y = x^3 - x | |
| Quadratic graphs y = x^2 | |
| Cubic graphs y = x^3 - x | |
| f(2x) | Stretch by a factor of 0.5 horizontally (Shrink by half) |
| Bad guy x lives in bracket prison, whatever you tell him to do he does the opposite. | Good guy y lives outside bracket prison and does what he's told. |
| f(0.5x) | Stretch by a factor of 2 horizontally |
| f(2x) | You: "Stretch twice as wide!" X: "No." X: *becomes half as wide* |
| f(x + 2) | Move 2 to the left |
| f(0.5x) | You: "Shrink to half your size!" X: "No." X: *becomes twice as wide* |
| f(x - 2) | Move 2 to the right |
| f(x+2) | You: "Move 2 to the right!" X: "No." X: *Moves 2 to the left* |
| f(-x) | Flip in the y axis |
| f(x-2) | You: "Move 2 to the left!" X: "No." X: *Moves 2 to the right* |
| The only thing x does right is this: f(-x) because he can't do anything else | You: "Flip sideways!" X: "..." X: *Flips sideways* |
| 2f(x) | You: "Stretch up high!" Y: "Okay, how high? 2? Got it." Y: *Stretches up by 2* |
| 0.5f(x) | You: "Compress down!" Y: "Okay, by how much? Half? Got it." Y: *Compresses down* |
| f(x)+2 f(x)-2 | You: "Move 2 to the left!" Y: "Okay, by how much? Half? Got it." Y: *Compresses down* |
| 2f(x) | Stretch by a factor of 2 vertically |
| 0.5f(x) | Stretch by a factor of 0.5 |
| f(x) + 2 | Move 2 upwards |
| f(x) - 2 | Move 2 downwards |
| -f(x) | Flip in the x axis |
