Curves & transformations of graphs
Edexcel GCSE Maths revision on Curves & transformations of graphs. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 17 practice questions on this topic.
Sample questions (3 of 17)
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Question 1
The graph of y = x^2 is a...
- A) Straight line
- B) U-shaped parabola
- C) Circle
- D) Hyperbola
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Answer: U-shaped parabola
y = x^2 plots a U-shape (parabola). Minimum point at origin (0, 0). Symmetrical about y-axis. y always >= 0.
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Question 2
The graph of y = -x^2 is a...
- A) U-shape
- B) Upside-down U-shape (n-shape)
- C) Straight line
- D) Circle
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Answer: Upside-down U-shape (n-shape)
The negative sign flips y = x^2 vertically. So y = -x^2 is an n-shape (inverted U), maximum at origin (0,0). y always <= 0.
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Question 3
y = 1/x is what kind of curve?
- A) Straight line
- B) Parabola
- C) Hyperbola (reciprocal curve)
- D) Circle
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Answer: Hyperbola (reciprocal curve)
y = 1/x has two branches: one in Q1, one in Q3. Approaches but never touches x-axis and y-axis (asymptotes). Used to model inverse proportion.
Want to test yourself on the remaining cards for this topic?
14 more questions on Curves & transformations of graphs — plus mistakes tracking and spaced repetition across the whole Maths spec.