Grade 10 Maths · Trigonometry · Reflect a graph

Reflection of Graphs Grade 10

Flip a graph in the x-axis or y-axis and write the new equation (for example reflecting y = 2^x in the x-axis gives y = -2^x).

questions use it, all grades · 22 past paper, 72 practice: 94 questions use it, all grades · 22 past paper, 72 practice
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Reflections of the Exponential GraphMaths101 with Jana van Niekerk

Reflection Parabola in Y axis | Grade 11 FunctionsKevinmathscience

Reflections of a Function - NerdstudyNerdstudy

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Question 5.5 · November 2024 · Paper 1 · National (DBE) · 2 marks

Sketched below is the graph of

f (x) = \frac{a}{x + p} + q

having the domain

(- \infty; 1) \cup (1; \infty)

. The graph of

f

cuts the y-axis at

(0; 1)

. A line of symmetry of

f

is given by

g (x) = x - 3

5.5 Graph

f

undergoes a transformation to

h

where: The domain and range of

h

are the same as that of

f

h^{'} (x)

, the derivative of

h

, is negative on its domain. Describe a possible transformation that

f

could have undergone to result in

h

.(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: reflect a graph

Work each one out first, then open the memo and check every tick.

3. Question 6.6 · September 2025 · Paper 1 · Provincial · 2 marks
Given: $f (x) = 3^{x}$
6.6 Write down an equation for $g$ , if the graph of $g$ is the image of the graph of $f$ after $f$ has been translated two units to the right and reflected about the $x$ -axis.(2)
Show the memo (2 ticks)Memo
1. ✓
  $g (x) = - f (x - 2)$ $g (x) = - f (x - 2)$
  1 mark · Reflect a graph
2. ✓
  Answer $∴ g (x) = - 3^{x - 2}$
  1 mark · Reflect a graph
4. Question 4.5 · September 2024 · Paper 1 · Provincial · 2 marks
The graph of $f (x) = a x^{2}$ , $x \leq 0$ , is sketched below. The point $P (- 6; - 8)$ lies on the graph of f.
4.5 The graph of f is reflected across the line $y = x .$ and thereafter it is reflected across the x-axis. Determine the equation of the new function in the form $y = ...$ (2)
Show the memo (2 ticks)Memo
1. ✓
  Reflections $y = - (- - \frac{9}{2} x)$
  1 mark · Reflect a graph
2. ✓
  Answer $y = - \frac{9}{2} x$
  1 mark · Reflect a graph
5. Question 5.3 · November 2024 · Paper 1 · Provincial · 2 marks
5.3 The graph of $h (x) = x^{2} - 4$ is obtained by transforming the graph of f. Describe the transformation that maps the graph of f onto the graph of h.(2)
Show the memo (2 ticks)Memo
1. ✓
  Describe reflectionReflection in the x-axis (or reflection in the line $y = 0$ )
  2 marks · Reflect a graph
6. Question 3.4 · March 2024 · Paper 1 · Provincial · 2 marks
The diagram shows the graph of $f (x) = \frac{3}{x + 2} + 1$
3.4 The graph of $g$ is formed by first reflecting $f$ in the $y$ -axis and then translating it upwards by 2 units. Determine the equation of $g$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Apply transformations to function $f$ Reflection in $y$ -axis: $f (- x) = \frac{3}{- x + 2} + 1$
  Translate 2 units up: $g (x) = \frac{3}{- x + 2} + 1 + 2$
  $g (x) = \frac{3}{- x + 2} + 3$
  1 mark · Reflect a graph
2. ✓
  Simplify final equation $g (x) = \frac{- 3}{x - 2} + 3$
  1 mark · Reflect a graph

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