Answer:
Step-by-step explanation:
I used logic and took the easy way around this as opposed to the long, drawn-out algebraic way. I noticed right off that at x = -3 and x = -1 the y values were the same. In the middle of those two x-values is -2, which is the vertex of the parabola with coordinates (-2, 4). That's the h and k in the formula I'm going to use. Then I picked a point from the table to use as my x and y in the formula I'm going to use. I chose (0, 3) because it's easy. The formula for a quadratic is

and I have everything I need to solve for a. Filling in my h, k, x, and y:
and
and
-1 = 4a so

In work/vertex form the equation for the quadratic is

In standard form it's:

9514 1404 393
Answer:
D. Henry's started farther, went faster
Step-by-step explanation:
Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...
y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value
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Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.
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Henry started farther from town and traveled faster.
Answer:
the equation is - 
Explanation:
Given -

We have to find a line passing through the point
nd parallel to the given line.
Find the slope of the given line.
It is the coefficeint of 
m₁ = 1
The two lines are parallel. Hence
m₂=m₁=1 Where m₂is the slope of the second line.
You have slope and the points 
Find the Y intercept

Y-Intercept
and slope m₂=1
Fix the equation

1.1n represents the total cost of n packages of pencils.
2.2m represents the total cost of m pads of paper
The entire expression represents the total cost of Yolanda's school supplies.
TAnswer: he graph in the attached figure
Step-by-step explanation:
we have
y-1=2/3(x-3)
This is the equation of a line into point slope form
where
the point is (3,1) and the slope is m=2/3
using a graphing tool
The graph in the attached figure