Question

the graph of $y = |x|$ is shifted up by 7 units and to the left by 8 units. what is the equation of the new graph? choose 1 answer: a $y = |x - 8| - 7$ b $y = |x + 8| + 7$ c $y = |x + 8| - 7$ d $y = |x - 8| + 7$

Explanation:

Step1: Shift left by 8 units

Replace $x$ with $x+8$: $y = |x+8|$

Step2: Shift up by 7 units

Add 7 to the function: $y = |x+8| + 7$

Answer:

B. $y = |x + 8| + 7$