Transformations of Functions | CIE AS Maths: Pure 1 Topic Questions 2020

1

4 marks

A curve has equation $y = f (x)$ .

Describe the transformation of the curve given by the equations below:

(i)

$y = f (x) + 2,$

(ii)

$y = f (x - 2),$

(iii)

$y = 3 f (x),$

(iv)

y = f (2 x) .

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1

4 marks

The point $P (- 3, - 2)$ lies on the curve with equation $y = f (x)$ .

State the coordinates of the image of point $P$ on the curves with the following equations:

(i)

$y - 2 = f (x) - 6$

(ii)

$y = f (x - 3)$

(iii)

$2 y = f (x)$

(iv)

y = f (\frac{1}{2} x)

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1

4 marks

The point $P (- 1, 4)$ lies on the curve with equation $y = f (x) .$ .

State the coordinates of the image of point $P$ on the curves with the following equations:

(i)

$y = f (x) + 3$

(ii)

$y = f (x + 3)$

(iii)

$y = 3 f (x)$

(iv)

y = f (3 x)

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1

4 marks

The curve with equation $y = f (x)$ has two asymptotes, for which the equations are

$y = - 3$ and $x = 2$ .

Give the equations of the asymptotes for the curves with the following equations:

(i)

$y + 3 = f (x)$

(ii)

y = f (x - 2)

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CIE AS Maths: Pure 1

Topic Questions

1.5 Transformations of Functions