Question

PLS HELP BEST ANSWER GETS SHOUTOUT AND BRAINLIEST


Write the algebraic expression that matches each graph:

Answer 1

Answer:

1. upside down graph: y = - ⎜x +1⎟ + 1

2. regular graph: y =  ⎜x -2⎟ -2

Step-by-step explanation:

This is an absolute value function  f(x) = |x| with some transformations

1) facing down graph means that f(x) is flipped around x-axis so a must be negative

y = -a ⎜x - h⎟ + k

h is the number of units for  f(x) = |x| translated horizontally

h is positive if translation is to the right, h is negative if  translation is to the left

k is the number of units for   f(x) = |x| translated vertically

if translation is up k is positive; if a translation is down k is negative

function i s flipped over x-axis moved 1 unit to the left and 1 unit up

y = - ⎜x +1⎟ + 1

2) similar for this graph

function is 2 units to the right and 2 units down

y =  ⎜x -2⎟ -2