Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
Answer:
3.0233088 x 10 raise to power 7
6.38 x 3 = $19.14 for 3 pairs of earrings
19.14 + 2.50 = $21.64 total
Answer:
About 5 hr 10 min
Step-by-step explanation:
rate 1 = 1 pool / 9 hrs rate 2 = 1 pool / 12 hours
now find the time with both rates combined
1 pool / ( 1/9 + 1/12) = 1/ (7/36) = 36/7 hr = 5 1/7 hr = 5 hr 8.6 min
Answer:
A' (-3, -2)
B' (-3, -10)
C' (3, -10)
D' (3, -3)
Step-by-step explanation:
When reflecting over the y-axis, the x- coordinates don't change, rather only the position of the y-value is shifted. When moving the y-values, it is good to count how many spaces away the point is from the line , so it can be duplicated when you flip it.
Hope this Helps! :)
