Hi, I need help with this exercise

Question

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.

f(x) = |x|;

reflect in the x-axis, shift 3 units to the right, and shift upward 6 units

Answer 1

t₁(x) = -| x |

t₂(x) = -| x - 3 |

t₃(x) = -| x - 3 | + 6

Answer 2

f(x)=|x|

f(x)=f(-x)

Reflection in x axis will not affect y values.

Shift 3 units to right

f(x)=|x - 3|

Shift 6 units upward

f(x)=|x - 3| + 6