The parent function y = |x| stretched vertically by a factor of 2, shifted left 3 units and down 4 unitswhats the equation?

Hello!

Let's go through some formula to distinguish the changes that happen to a graph's equation when they are transformed.

Vertical shifts have this type of formula:

f(x) + k → up k units and f(x) - k → down k units

Horizontal shifts have this type of formula:

f(x + k) → left k units and f(x - k) → right k units

Reflections have this type of formula:

-f(x) → reflect over x-axis and f(-x) → reflect over y-axis

Vertical stretches have this type of formula:

a · f(x) where a > 1

Vertical compressions have this type of formula:

a · f(x) where a < 1

Horizontal stretches have this type of formula:

f(a · x) where a > 1

Horizontal compressions have this type of formula:

f(a · x) where a < 1

With that in mind, we can write our transformed absolute value function.

Since the equation is vertically stretched by a factor of 2, a = 2.

y = 2|x|

Also, since the function is shifted left 3 units, k = -3.

y = 2|x + 3|

Finally, the function is also shifted down 4 units, so k = -4.

y = 2|x + 3| - 4

Therefore, the equation is y = 2|x + 3| - 4.

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

this answer is !