Answer: Because the a-value is negative.
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the vertical stretch
- -a is a reflection over the x-axis
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
Given: g(x) = - (x + 1)² - 3
↓
a= -1
Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).
Answer:
See the attached figure.
Given:
u = (-3.5 , -1.5) and v = (-1.25 , 2.25)
So,
2v = 2 * (-1.25 , 2.25) = (-2.5, 4.5)
∴ 2v - u = (-2.5, 4.5) - (-3.5 , -1.5) = (1 , 6)
The graph of the vectors is as shown in the attached figure.
The angles all add up to 180
42 + 42 + x = 180
84 + x = 180
x = 96
x = the third angle
