The quadratic function in vertex form is:
y = a(x - h)^2 + k
Where:
vertex = (h, k)
Axis of symmetry: x = h
The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.
The value of “h” determines how far left or right the parent function is translated.
The value of “k” determines how far up or down the parent function is translated.
Now that we have these definitions, we can substitute the given values into the vertex form to solve for “a”:
Use vertex = (-4, -1) and y-intercept, (0, 7):
7 = a(0+ 4)^2 - 1
7 = a(4)^2 - 1
7 = a(16) - 1
Add 1 to both sides:
7 + 1 = a(16) - 1 + 1
8 = 16a
Divide both sides by 16 to solve for “a”:
8/16 = 16a/16
1/2 = a
Since a = 1/2 (which is positive, implying that the parabola opens upward), and the vertex occurs at point (-4, -1) as the minimum point:
The quadratic equation in vertex form is:
y = 1/2(x + 4)^2 - 1
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Answer:
Distance = 110.5 cm
Step-by-step explanation:
It is given that,
The basement floor is at an elevation of −10.5 feet
The second story floor has an elevation of 121 feet.
We need to find the distance between the basement floor and the second story floor.
Distance = -10.5 + 121
= 110.5 feet
So, the distance between the basement floor and the second story floor is 110.5 cm.
Step-by-step explanation:
3 gal = 900 ft
... gal = 1100 ft
So, each gal is used for cover 300 ft,
Then,

We need <u>3 2/3 gal</u> to cover 1100 ft.
Hope it helps!
Answer:
product of the 2 solutions
Step-by-step explanation:
4x - 21 = 0
4x = 21
x = 21/ 4
x = 5.25
Answer:

<h3><u>5x</u> is the right answer.</h3>