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<Moderator's note: Member has been informed to separate different question into different threads in the future.>

Please see picture attached...

The diagram shows the curve with equation y = f (x)

The coordinates of the minimum point of the curve are (–2, –1)

(a) Write down the coordinates of the minimum point of the curve with equation

(i) y=f(x–5)

(ii) y = 0.5 f ( x )

The graph of y=asin(x–b)+c (please see graph on picture)

b) Find the value of a, the value of b and the value of c.

(a) Write down the coordinates of the minimum point of the curve with equation

(i) y=f(x–5) Does the -5 move the graph 5 units to the right? Why is this? So the coordinates are (-7, -1)

(ii) y = 0.5 f(x) Does the times 0.5 widen the curve and has no impact on the minimum point so would stay (-2, 1)

b) Find the value of a, the value of b and the value of c.

Is a the magnitude? so a = 1

Is b the phase shift so -b shifts the graph by b units to the right so b = 360

Is c the vertical shift which is c = -1

Please explain :). Thank you in advance...

1. Homework Statement1. Homework Statement

Please see picture attached...

The diagram shows the curve with equation y = f (x)

The coordinates of the minimum point of the curve are (–2, –1)

(a) Write down the coordinates of the minimum point of the curve with equation

(i) y=f(x–5)

(ii) y = 0.5 f ( x )

The graph of y=asin(x–b)+c (please see graph on picture)

b) Find the value of a, the value of b and the value of c.

## The Attempt at a Solution

(a) Write down the coordinates of the minimum point of the curve with equation

(i) y=f(x–5) Does the -5 move the graph 5 units to the right? Why is this? So the coordinates are (-7, -1)

(ii) y = 0.5 f(x) Does the times 0.5 widen the curve and has no impact on the minimum point so would stay (-2, 1)

b) Find the value of a, the value of b and the value of c.

Is a the magnitude? so a = 1

Is b the phase shift so -b shifts the graph by b units to the right so b = 360

Is c the vertical shift which is c = -1

Please explain :). Thank you in advance...

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