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).
What is it supposed to go from
Answer:
Option (D). G(x) = x³ - x
Step-by-step explanation:
Given function is the attachment,
G(x) = (x - 1.5)³ - (x - 1.5)
This function when translated by left by 1.5 units, rule for the translation is,
G(x) → G'(x + 1.5)
Therefore, translated function will be,
G'(x) = (x - 1.5 + 1.5)³ - (x - 1.5 + 1.5)
G'(x) = x³ - x
Therefore, Option (D) will be the answer.
1. 60 because 5 x 12 = 60
2. 84 is the next one because 14 x 6 = 84
(if number two is wrong forgive me)
