Question 1

Paper 1, no calculatorEasy4 marks

The graph of y=f(x)y=f(x) is transformed to the graph of y=g(x)y=g(x) where

f(x)=x2,g(x)=−2f(x−1)+3.f(x)=x^2,\qquad g(x)=-2f(x-1)+3.
(a)

State the horizontal translation used.

[1]
(b)

State the vertical stretch and reflection used to obtain y=−2f(x−1)y=-2f(x-1) from y=f(x−1)y=f(x-1)

[2]
(c)

State the final vertical translation.

[1]

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