Which of the following exponential equations shows a reflection over the y-axis, a vertical stretch by a factor of 2, and horizontal shift right 1.
a. y = -2(4)* – 1
b. y = -2(4):-1
c. y = 2(4)-x-1
d. y = 4(2)-x-1

we are given

parent function as

(1)

vertical stretch of factor 2

so, we can multiply y-value by 2

then a shift right of 3 units

so, we can replace x as x-3

(2)

a shift left by 2 units

we can replace x as x+2

then a horizontal shrink factor of 1/2

so, we can multiply by 2 to x-value

then a shift down of 5 units

we can subtract y-value by 5

so, we get

(3)

a shift to the right 1 unit

we can replace x as x-1

stretched vertically by a factor of 1/2

we can multiply y-value by 1/2

then is shifted down 4 units

we can subtract y-value by 4

(4)

reflected across the x-axis

we can multiply y-value by -1

tretched vertically by a factor of 3

multiply y-value by 3

shifted left 7 units

we can replace x as x+7

Step-by-step explanation:

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