The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
in 3.4653, there is one digit to the left of the decimal point, that is the ones position
in 34.653, there are 2 numbers to the left of the decimal point, the 3 is located in the tens place
so 34.653 is greater than 3.4653
The first one is < the second one is < and the last one is =
Answer:
2.86 gallons
Step-by-step explanation:
If 1/35 gallon of gas = 1 mile
To travel 100 miles,
1/35 × 100
= 0.0286 × 100
= 2.86 gallons
Therefore, the car needs 2.86 gallons of gas to travel 100 miles.
