It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).

Part A: Use absolute values to calculate the distance in units from Maria's house to her school. Show your work. (4 points)

Part B: Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer. (6 points)

A) 2 units

B) yes

For A) |5-3|=|2|=2 is the distance from his house to school.

For B)

The distance from his house to school is 2 units; the distance from school to the grocery store is |3--9|=|12|=12.  The total distance is 2+12 = 14.

The distance from his house to school is 2 units; the distance from school to the community center is |-4-6|=|-10|=10.  The total distance is 2+10 = 12.

The distance from the house to the school to the grocery store is greater.

Step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

p

step-by-step explanation: