Recognising linear and quadratic graphs
The Maths Habit
Which one is the odd one out? Why?
C. It curves into a U shape. The others are straight lines.
- Linear graph
- A graph that is a straight line.
- Quadratic graph
- A graph that is a U shape.
- Equation
- It links y and x with an equals sign.
- x squared
- x times x.
Circle one in each row.
Circle one in each row.
Circle one in each row.
| linear | quadratic |
|---|---|
Circle one in each row.
Circle one in each row.
| linear | quadratic |
|---|---|
Circle one in each row.
Circle one in each row.
| linear | quadratic |
|---|---|
Circle one in each row.
Does it have an x²?
Circle one in each row.
y = x² + 5
Circle one in each row.
y = 4x + 2
Circle one in each row.
y = x² + 5
| linear | quadratic |
|---|---|
| no x² | x² |
Circle one in each row.
y = x² + 6
Circle one in each row.
y = x² + 5
| linear | quadratic |
|---|---|
| no x² | x² |
Circle one in each row.
y = 5x
Circle one in each row.
y = x² + 5
| linear | quadratic |
|---|---|
| no x² | x² |
Circle one in each row.
y = 3 + x²
Thumbs up for yes. Thumbs down for no.
Is y = x² + 10 quadratic?
Yes: it has x²Is y = 6x quadratic?
No: no x²Is y = 2x + 2 quadratic?
No: 2x is 2 × xIs y = 1 + x² quadratic?
Yes: it has x²Is y = 9 − x quadratic?
No: no x²
Answer sheet
Where does the graph of y = x² + 3 cross the y axis?
(0, 3)The graph of y = 4 − x² is quadratic. Is its U shape the right way up?
No: upside downA U shape crosses the y axis at (0, 3). Which is its equation: y = x + 3, y = x² + 3 or y = x² − 3?
y = x² + 3Is y = x² + 2x + 1 linear or quadratic?
Quadratic: it has x²
Circle the type of this graph.
linearCircle one in each row for y = 4 + x².
yes, quadraticIs y = 3x + 7 linear or quadratic?
linear