Step-by-step explanation:
The vertex form of a parabola can be written as

where (h, k) are the coordinates of the parabola's vertex. The vertices of the functions are as follows:
a) (3, 5)
b) (-7, 3)
c) (4, 0)
d) (0, -1)
e) (-1, -5)
f) (-1, -5)
Answer:
Mulch costs $10 more per cubic yard than topsoil.
Step-by-step explanation:
Got 100% on this Test/Usa
Answer:
this four sections are called the quadrants
Function transformation involves changing the form of a function
The function g(x) is 
The function is given as:

g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:

At point (-2,2), we have:

At point (-1,4), we have:

Divide both equations

Simplify

Apply law of indices


Rewrite as:

Substitute 2 for b in 

This gives

Multiply both sides by 4

Substitute 8 for (a) and 2 for (b) in 

Express as a function

Hence, the function g(x) is 
Read more about exponential functions at:
brainly.com/question/11487261
Answer:
He can make 3 batches of soup.
Step-by-step explanation:
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3