tmua 2020 Q10

tmua · Uk · paper1 1 marks Function Transformations
The following sequence of transformations is applied to the curve $y = 4x^2$
1. Translation by $\binom{3}{-5}$ 2. Reflection in the $x$-axis 3. Stretch parallel to the $x$-axis with scale factor 2
What is the equation of the resulting curve?
A $y = -x^2 + 12x - 31$
B $y = -x^2 + 12x - 41$
C $y = x^2 + 12x + 31$
D $y = x^2 + 12x + 41$
E $y = -16x^2 + 48x - 31$
F $y = -16x^2 + 48x - 41$
G $y = 16x^2 - 48x + 31$
H $y = 16x^2 - 48x + 41$
..... 12
The following sequence of transformations is applied to the curve $y = 4x^2$

1. Translation by $\binom{3}{-5}$
2. Reflection in the $x$-axis
3. Stretch parallel to the $x$-axis with scale factor 2

What is the equation of the resulting curve?

A $y = -x^2 + 12x - 31$

B $y = -x^2 + 12x - 41$

C $y = x^2 + 12x + 31$

D $y = x^2 + 12x + 41$

E $y = -16x^2 + 48x - 31$

F $y = -16x^2 + 48x - 41$

G $y = 16x^2 - 48x + 31$

H $y = 16x^2 - 48x + 41$