Answer: Parent graph is f(x) = x³
Transformation is 7 units up and reflection across y-axis
<u>Step-by-step explanation:</u>
Given parent graph of f(x) = x³, the transformed graph is represented by: g(x) = A (Bx - C)³ + D where
- A is the vertical stretch if |A| > 1 or shrink if |A| < 1
- -A is a reflection across the x-axis
- B is a horizontal stretch if |B| < 1 or shrink if |B| > 1
- -B is a reflection across the y-axis
- C is a horizontal shift (to the right if positive or left if negative)
- D is a vertical shift (up if positive or down if negative)
The equation you provided has -B, which represents a reflection across the y-axis and D-value of +7 which is a vertical shift up 7 units.
Answer:
Step-by-step explanation:
3/3-5=3/-2
Answer:
The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Step-by-step explanation:
Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:
3 x 17 ^ 10 = X
3 x 2,015,993,900,449 = X
6,047,981,701,347 = X
Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
The y-axis can be considered the imaginary axis.
The x-axis is the real axis.
So we can conclude that:
A: (-2, 3i)
B: (-1, -i)
C: (3, -4i)
D: (4, i)
2x-4x+3=0
6x square = 0-3
6x square =-3
X square =-3% 6
=-0.5
