The graph of the function f(x)=−4(x−3)2+9 will be a parabola opening in which direction?
1 answer:
You might be interested in
Answer:
It has amplitude of .
It is a horizontal shift of the parent function units left.
Step-by-step explanation:
We have the function, .
It is clear that the parent function is .
So, we see that,
The amplitude of the function f(x) is , which gives,
.
Also, g(x) is translated units to the left, which gives,
.
Further, the function is translated 1 unit downward, resulting in .
So, the correct options are,
It has amplitude of .
It is a horizontal shift of the parent function units left.
Answer:
The volume of paint that covers the whole car is gallons or one and a quarter gallons.
Step-by-step explanation:
Let the volume of paint required to cover whole car be 'x'.
Given:
Volume of paint to cover one-fifth of a car = one-fourth of a gallon.
We use unitary method to determine the volume of paint required.
∵ One-fifth of a car requires paint =
∴ Whole volume of car requires paint =
Therefore, the volume of paint that covers the whole car is gallons or one and a quarter gallons.
Draw a diagram to illustrate problem as shown below.
Let h = the height of the tree.
Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB
That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m
Answer: 5.82 m
Let h = the height of the tree.
Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB
That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m
Answer: 5.82 m