1. -2 + 15 = 13
If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.
2. The temperature rose 15 degrees
-6 + 9 = 15
Answer:
- domain: -∞ < x < ∞
- range: -2 ≤ y < ∞
Step-by-step explanation:
<u>Domain</u>
The domain is the horizontal extent of the function, the set of input values for which it is defined. A parabola that opens up or down is defined for all x values, so its domain is ...
-∞ < x < ∞ . . . . . . (-∞, ∞) in interval notation
__
<u>Range</u>
The range is the vertical extent of the function, the set of output values it produces. The vertex of the parabola is one extreme of the range. Depending on the direction it opens, the other extreme will be +∞ or -∞. The range includes the y-value of the vertex. Here, the range is ...
-2 ≤ y < ∞ . . . . . . [-2, ∞) in interval notation
One and ninety nine hundredths
Answer:
B) (−1, 3)
Step-by-step explanation:
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In your equation, ƒ(x) = −3x² − 6x
a = -3; b = -6; c = 0
Calculate h
h = -(-6)/2(-3)]
h = 6/(-6)
h = -1
Calculate k
k = -3(-1)² -6(-1)
k = -3 + 6
k = 3
So, h = -1, k = 3, a = -3
The vertex form of the equation is f(x) = -3(x + 1)² + 3.
The vertex is at (-1, 3).
The figure below shows the graph of ƒ(x) = −3x² − 6x with the vertex
at (-1, 3).
Answer:
Step-by-step explanation:
can stay untouched, but 
has to be changed to 
. Now that they have they have the same denominator, you can add them. 
, which can be simplified, which is 
.
